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41320411040 = 2552915675683
BaseRepresentation
bin100110011110111000…
…110110111110100000
310221122200122100221002
4212132320312332200
51134111011123130
630552103451132
72661646461446
oct463670667640
9127580570832
1041320411040
1116584327437
128012156aa8
133b867b5a7c
141dddac2b96
15111c8a9b45
hex99ee36fa0

41320411040 has 96 divisors (see below), whose sum is σ = 101067886080. Its totient is φ = 15945237504.

The previous prime is 41320410997. The next prime is 41320411049. The reversal of 41320411040 is 4011402314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41320411049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7268039 + ... + 7273721.

It is an arithmetic number, because the mean of its divisors is an integer number (1052790480).

Almost surely, 241320411040 is an apocalyptic number.

41320411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41320411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50533943040).

41320411040 is an abundant number, since it is smaller than the sum of its proper divisors (59747475040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41320411040 is a wasteful number, since it uses less digits than its factorization.

41320411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41320411040 its reverse (4011402314), we get a palindrome (45331813354).

The spelling of 41320411040 in words is "forty-one billion, three hundred twenty million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 1567 2320 3134 4640 5683 6268 7835 11366 12536 15670 22732 25072 28415 31340 45443 45464 50144 56830 62680 90886 90928 113660 125360 164807 181772 181856 227215 227320 250720 329614 363544 454430 454640 659228 727088 824035 908860 909280 1318456 1454176 1648070 1817720 2636912 3296140 3635440 5273824 6592280 7270880 8905261 13184560 17810522 26369120 35621044 44526305 71242088 89052610 142484176 178105220 258252569 284968352 356210440 516505138 712420880 1033010276 1291262845 1424841760 2066020552 2582525690 4132041104 5165051380 8264082208 10330102760 20660205520 41320411040