322102220400 has 90 divisors (see below), whose sum is σ = 1117784190120. Its totient is φ = 85893924480.

The previous prime is 322102220399. The next prime is 322102220413. The reversal of 322102220400 is 4022201223.

322102220400 is a `hidden beast` number, since 3 + 221 + 0 + 22 + 20 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×322102220400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44732820 + ... + 44740019.

Almost surely, 2^322102220400 is an apocalyptic number.

322102220400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322102220400 is an abundant number, since it is smaller than the sum of its proper divisors (795681969720).

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

322102220400 is a wasteful number, since it uses less digits than its factorization.

322102220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89472863 (or 89472849 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 322102220400 its reverse (4022201223), we get a palindrome (326124421623).

The spelling of 322102220400 in words is "three hundred twenty-two billion, one hundred two million, two hundred twenty thousand, four hundred".