10400777001 has 16 divisors (see below), whose sum is σ = 15661160320. Its totient is φ = 6820180560.

The previous prime is 10400776993. The next prime is 10400777003. The reversal of 10400777001 is 10077700401.

It is not a de Polignac number, because 10400777001 - 2³ = 10400776993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400777003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3155845 + ... + 3159138.

It is an arithmetic number, because the mean of its divisors is an integer number (978822520).

Almost surely, 2^10400777001 is an apocalyptic number.

It is an amenable number.

10400777001 is a deficient number, since it is larger than the sum of its proper divisors (5260383319).

10400777001 is an equidigital number, since it uses as much as digits as its factorization.

10400777001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315053 (or 6315047 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 10400777001 in words is "ten billion, four hundred million, seven hundred seventy-seven thousand, one".