40516261504 has 128 divisors (see below), whose sum is σ = 86257483200. Its totient is φ = 18902016000.

The previous prime is 40516261493. The next prime is 40516261579.

40516261504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 40516261504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69022299 + ... + 69022885.

Almost surely, 2^40516261504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40516261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43128741600).

40516261504 is an abundant number, since it is smaller than the sum of its proper divisors (45741221696).

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

40516261504 is a wasteful number, since it uses less digits than its factorization.

40516261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 40516261504 in words is "forty billion, five hundred sixteen million, two hundred sixty-one thousand, five hundred four".