40513533531504 has 80 divisors (see below), whose sum is σ = 116109664755840. Its totient is φ = 12068746497280.

The previous prime is 40513533531433. The next prime is 40513533531509.

40513533531504 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40513533531509) 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, 650224587 + ... + 650286890.

It is an arithmetic number, because the mean of its divisors is an integer number (1451370809448).

Almost surely, 2^{40513533531504} is an apocalyptic number.

40513533531504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40513533531504 is an abundant number, since it is smaller than the sum of its proper divisors (75596131224336).

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

40513533531504 is a wasteful number, since it uses less digits than its factorization.

40513533531504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300511558 (or 1300511552 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

It can be divided in two parts, 4051353 and 3531504, that added together give a palindrome (7582857).

The spelling of 40513533531504 in words is "forty trillion, five hundred thirteen billion, five hundred thirty-three million, five hundred thirty-one thousand, five hundred four".