40516844861504 has 112 divisors (see below), whose sum is σ = 88521232859136. Its totient is φ = 18246997056000.

The previous prime is 40516844861503. The next prime is 40516844861509.

40516844861504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40516844861504² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40516844861504.

It is not an unprimeable number, because it can be changed into a prime (40516844861501) 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, 40216859 + ... + 41212005.

It is an arithmetic number, because the mean of its divisors is an integer number (790368150528).

Almost surely, 2^{40516844861504} is an apocalyptic number.

40516844861504 is a gapful number since it is divisible by the number (44) 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 40516844861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44260616429568).

40516844861504 is an abundant number, since it is smaller than the sum of its proper divisors (48004387997632).

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

40516844861504 is a wasteful number, since it uses less digits than its factorization.

40516844861504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995704 (or 995694 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 56.

The spelling of 40516844861504 in words is "forty trillion, five hundred sixteen billion, eight hundred forty-four million, eight hundred sixty-one thousand, five hundred four".