40046500616928 has 576 divisors, whose sum is σ = 120237171005952. Its totient is φ = 11642117160960.

The previous prime is 40046500616923. The next prime is 40046500616959. The reversal of 40046500616928 is 82961600564004.

It is a super-2 number, since 2×40046500616928² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40046500616923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31019751963 + ... + 31019753253.

It is an arithmetic number, because the mean of its divisors is an integer number (208745088552).

Almost surely, 2^{40046500616928} is an apocalyptic number.

40046500616928 is a gapful number since it is divisible by the number (48) 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 40046500616928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60118585502976).

40046500616928 is an abundant number, since it is smaller than the sum of its proper divisors (80190670389024).

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

40046500616928 is a wasteful number, since it uses less digits than its factorization.

40046500616928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 40046500616928 in words is "forty trillion, forty-six billion, five hundred million, six hundred sixteen thousand, nine hundred twenty-eight".