10400664001 has 48 divisors (see below), whose sum is σ = 13378514688. Its totient is φ = 8009971200.

The previous prime is 10400663989. The next prime is 10400664067. The reversal of 10400664001 is 10046600401.

It is not a de Polignac number, because 10400664001 - 2⁹ = 10400663489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400664601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11805081 + ... + 11805961.

It is an arithmetic number, because the mean of its divisors is an integer number (278719056).

Almost surely, 2^10400664001 is an apocalyptic number.

It is an amenable number.

10400664001 is a deficient number, since it is larger than the sum of its proper divisors (2977850687).

10400664001 is a wasteful number, since it uses less digits than its factorization.

10400664001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 10400664001 in words is "ten billion, four hundred million, six hundred sixty-four thousand, one".