321376072400 has 60 divisors (see below), whose sum is σ = 772188266892. Its totient is φ = 128536734720.

The previous prime is 321376072393. The next prime is 321376072417. The reversal of 321376072400 is 4270673123.

It can be written as a sum of positive squares in 6 ways, for example, as 114874900624 + 206501171776 = 338932^2 + 454424^2 .

It is a super-2 number, since 2×321376072400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4255772 + ... + 4330628.

Almost surely, 2^321376072400 is an apocalyptic number.

It is an amenable number.

321376072400 is an abundant number, since it is smaller than the sum of its proper divisors (450812194492).

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

321376072400 is a wasteful number, since it uses less digits than its factorization.

321376072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85608 (or 85597 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 321376072400 in words is "three hundred twenty-one billion, three hundred seventy-six million, seventy-two thousand, four hundred".