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40400753712 = 24311271282349
BaseRepresentation
bin100101101000000100…
…101001010000110000
310212021121010221020120
4211220010221100300
51130220043104322
630320532210240
72630111511654
oct455004512060
9125247127216
1040400753712
1116152199260
1279b6169980
133a6b0c8c37
141d538caa64
1510b6c98a5c
hex968129430

40400753712 has 80 divisors (see below), whose sum is σ = 114277209600. Its totient is φ = 12197433600.

The previous prime is 40400753711. The next prime is 40400753719. The reversal of 40400753712 is 21735700404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40400753711) 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, 1914 + ... + 284262.

It is an arithmetic number, because the mean of its divisors is an integer number (1428465120).

Almost surely, 240400753712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400753712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57138604800).

40400753712 is an abundant number, since it is smaller than the sum of its proper divisors (73876455888).

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

40400753712 is a wasteful number, since it uses less digits than its factorization.

40400753712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282642 (or 282636 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 40400753712 in words is "forty billion, four hundred million, seven hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 528 542 813 1084 1626 2168 2981 3252 4336 5962 6504 8943 11924 13008 17886 23848 35772 47696 71544 143088 282349 564698 847047 1129396 1694094 2258792 3105839 3388188 4517584 6211678 6776376 9317517 12423356 13552752 18635034 24846712 37270068 49693424 74540136 76516579 149080272 153033158 229549737 306066316 459099474 612132632 841682369 918198948 1224265264 1683364738 1836397896 2525047107 3366729476 3672795792 5050094214 6733458952 10100188428 13466917904 20200376856 40400753712