4640044400460 has 72 divisors (see below), whose sum is σ = 16085487259296. Its totient is φ = 1060581576960.

The previous prime is 4640044400423. The next prime is 4640044400501. The reversal of 4640044400460 is 640044400464.

4640044400460 is a `hidden beast` number, since 4 + 640 + 0 + 4 + 4 + 4 + 0 + 0 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1841286201 + ... + 1841288720.

It is an arithmetic number, because the mean of its divisors is an integer number (223409545268).

Almost surely, 2^{4640044400460} is an apocalyptic number.

It is an amenable number.

4640044400460 is an abundant number, since it is smaller than the sum of its proper divisors (11445442858836).

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

4640044400460 is a wasteful number, since it uses less digits than its factorization.

4640044400460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682574943 (or 3682574938 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4640044400460 in words is "four trillion, six hundred forty billion, forty-four million, four hundred thousand, four hundred sixty".