4001055000400 has 60 divisors (see below), whose sum is σ = 9637633009152. Its totient is φ = 1596243291520.

The previous prime is 4001055000391. The next prime is 4001055000443. The reversal of 4001055000400 is 40005501004.

It is a super-2 number, since 2×4001055000400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12905074 + ... + 13211473.

Almost surely, 2^{4001055000400} is an apocalyptic number.

4001055000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001055000400 is an abundant number, since it is smaller than the sum of its proper divisors (5636578008752).

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

4001055000400 is a wasteful number, since it uses less digits than its factorization.

4001055000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26116948 (or 26116937 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The spelling of 4001055000400 in words is "four trillion, one billion, fifty-five million, four hundred", and thus it is an aban number.