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41781591040 = 210575919759
BaseRepresentation
bin100110111010011000…
…000111110000000000
310222211211102201221211
4212322120013300000
51141032041403130
631105540255504
73006246443530
oct467230076000
9128754381854
1041781591040
11167a0689832
1281206a1594
133c2b1c8447
1420450514c0
151148105a2a
hex9ba607c00

41781591040 has 176 divisors, whose sum is σ = 116492313600. Its totient is φ = 14081605632.

The previous prime is 41781591011. The next prime is 41781591043. The reversal of 41781591040 is 4019518714.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 41781590984 and 41781591002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41781591043) 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, 2104681 + ... + 2124439.

Almost surely, 241781591040 is an apocalyptic number.

41781591040 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 41781591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58246156800).

41781591040 is an abundant number, since it is smaller than the sum of its proper divisors (74710722560).

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

41781591040 is a wasteful number, since it uses less digits than its factorization.

41781591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19850 (or 19832 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 41781591040 in words is "forty-one billion, seven hundred eighty-one million, five hundred ninety-one thousand, forty".