321279419120400 has 1440 divisors, whose sum is σ = 1305064972579200. Its totient is φ = 74827116748800.

The previous prime is 321279419120399. The next prime is 321279419120411. The reversal of 321279419120400 is 4021914972123.

321279419120400 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 79 + 419 + 120 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29581010970 + ... + 29581021830.

Almost surely, 2^{321279419120400} is an apocalyptic number.

321279419120400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321279419120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652532486289600).

321279419120400 is an abundant number, since it is smaller than the sum of its proper divisors (983785553458800).

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

321279419120400 is a wasteful number, since it uses less digits than its factorization.

321279419120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11786 (or 11756 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 321279419120400 in words is "three hundred twenty-one trillion, two hundred seventy-nine billion, four hundred nineteen million, one hundred twenty thousand, four hundred".