321144010400 has 36 divisors (see below), whose sum is σ = 783992817342. Its totient is φ = 128457603840.

The previous prime is 321144010393. The next prime is 321144010469. The reversal of 321144010400 is 4010441123.

It can be written as a sum of positive squares in 3 ways, for example, as 132172965136 + 188971045264 = 363556^2 + 434708^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200714207 + ... + 200715806.

Almost surely, 2^321144010400 is an apocalyptic number.

It is an amenable number.

321144010400 is an abundant number, since it is smaller than the sum of its proper divisors (462848806942).

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

321144010400 is a wasteful number, since it uses less digits than its factorization.

321144010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401430033 (or 401430020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 321144010400 its reverse (4010441123), we get a palindrome (325154451523).

The spelling of 321144010400 in words is "three hundred twenty-one billion, one hundred forty-four million, ten thousand, four hundred".