322125476400 has 1920 divisors, whose sum is σ = 1485149388800. Its totient is φ = 64497254400.

The previous prime is 322125476371. The next prime is 322125476419. The reversal of 322125476400 is 4674521223.

322125476400 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 2 + 5 + 4 + 7 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2955279546 + ... + 2955279654.

Almost surely, 2^322125476400 is an apocalyptic number.

322125476400 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 322125476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742574694400).

322125476400 is an abundant number, since it is smaller than the sum of its proper divisors (1163023912400).

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

322125476400 is a wasteful number, since it uses less digits than its factorization.

322125476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 322125476400 its reverse (4674521223), we get a palindrome (326799997623).

The spelling of 322125476400 in words is "three hundred twenty-two billion, one hundred twenty-five million, four hundred seventy-six thousand, four hundred".