322112104413400 has 288 divisors, whose sum is σ = 875137766928480. Its totient is φ = 109937710848000.

The previous prime is 322112104413397. The next prime is 322112104413401. The reversal of 322112104413400 is 4314401211223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322112104413401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2839111074 + ... + 2839224526.

It is an arithmetic number, because the mean of its divisors is an integer number (3038672801835).

Almost surely, 2^{322112104413400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322112104413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437568883464240).

322112104413400 is an abundant number, since it is smaller than the sum of its proper divisors (553025662515080).

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

322112104413400 is a wasteful number, since it uses less digits than its factorization.

322112104413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114795 (or 114779 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 322112104413400 its reverse (4314401211223), we get a palindrome (326426505624623).

The spelling of 322112104413400 in words is "three hundred twenty-two trillion, one hundred twelve billion, one hundred four million, four hundred thirteen thousand, four hundred".