40555466455504 has 160 divisors (see below), whose sum is σ = 105506003183616. Its totient is φ = 14584681704960.

The previous prime is 40555466455463. The next prime is 40555466455547.

40555466455504 is nontrivially palindromic in base 10.

40555466455504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426730839 + ... + 426825865.

Almost surely, 2^{40555466455504} is an apocalyptic number.

40555466455504 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 40555466455504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52753001591808).

40555466455504 is an abundant number, since it is smaller than the sum of its proper divisors (64950536728112).

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

40555466455504 is a wasteful number, since it uses less digits than its factorization.

40555466455504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121713 (or 121707 counting only the distinct ones).

The product of its (nonzero) digits is 144000000, while the sum is 58.

The spelling of 40555466455504 in words is "forty trillion, five hundred fifty-five billion, four hundred sixty-six million, four hundred fifty-five thousand, five hundred four".