400210014400144 has 40 divisors (see below), whose sum is σ = 835367873268600. Its totient is φ = 184642794958848.

The previous prime is 400210014400109. The next prime is 400210014400187. The reversal of 400210014400144 is 441004410012004.

It can be written as a sum of positive squares in 4 ways, for example, as 40990469664400 + 359219544735744 = 6402380^2 + 18953088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361526119 + ... + 362631430.

It is an arithmetic number, because the mean of its divisors is an integer number (20884196831715).

Almost surely, 2^{400210014400144} is an apocalyptic number.

It is an amenable number.

400210014400144 is an abundant number, since it is smaller than the sum of its proper divisors (435157858868456).

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

400210014400144 is a wasteful number, since it uses less digits than its factorization.

400210014400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724160227 (or 724160221 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 400210014400144 its reverse (441004410012004), we get a palindrome (841214424412148).

The spelling of 400210014400144 in words is "four hundred trillion, two hundred ten billion, fourteen million, four hundred thousand, one hundred forty-four".