40930716258432 has 2880 divisors, whose sum is σ = 176269989218400. Its totient is φ = 9292979404800.

The previous prime is 40930716258389. The next prime is 40930716258473. The reversal of 40930716258432 is 23485261703904.

40930716258432 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 0 + 7 + 1 + 625 + 8 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×40930716258432² (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 an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17944197132 + ... + 17944199412.

It is a 1-persistent number, because it is pandigital, but 2⋅40930716258432 = 81861432516864 is not.

Almost surely, 2^{40930716258432} is an apocalyptic number.

40930716258432 is a gapful number since it is divisible by the number (42) 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 40930716258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88134994609200).

40930716258432 is an abundant number, since it is smaller than the sum of its proper divisors (135339272959968).

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

40930716258432 is a wasteful number, since it uses less digits than its factorization.

40930716258432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 40930716258432 in words is "forty trillion, nine hundred thirty billion, seven hundred sixteen million, two hundred fifty-eight thousand, four hundred thirty-two".