40464161058624 has 448 divisors, whose sum is σ = 116709860966400. Its totient is φ = 12331754330112.

The previous prime is 40464161058613. The next prime is 40464161058631. The reversal of 40464161058624 is 42685016146404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4220727559 + ... + 4220737145.

Almost surely, 2^{40464161058624} 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 40464161058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58354930483200).

40464161058624 is an abundant number, since it is smaller than the sum of its proper divisors (76245699907776).

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

40464161058624 is a wasteful number, since it uses less digits than its factorization.

40464161058624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010 (or 10000 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 40464161058624 in words is "forty trillion, four hundred sixty-four billion, one hundred sixty-one million, fifty-eight thousand, six hundred twenty-four".