40760941790520 has 256 divisors, whose sum is σ = 155603966976000. Its totient is φ = 9297335374848.

The previous prime is 40760941790519. The next prime is 40760941790537. The reversal of 40760941790520 is 2509714906704.

40760941790520 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 0 + 9 + 41 + 79 + 0 + 520 = 666.

It is a super-2 number, since 2×40760941790520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2006797 + ... + 9249276.

It is an arithmetic number, because the mean of its divisors is an integer number (607827996000).

Almost surely, 2^{40760941790520} is an apocalyptic number.

40760941790520 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 40760941790520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77801983488000).

40760941790520 is an abundant number, since it is smaller than the sum of its proper divisors (114843025185480).

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

40760941790520 is a wasteful number, since it uses less digits than its factorization.

40760941790520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256579 (or 11256569 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 40760941790520 in words is "forty trillion, seven hundred sixty billion, nine hundred forty-one million, seven hundred ninety thousand, five hundred twenty".