22342312324400 has 120 divisors (see below), whose sum is σ = 55429870249344. Its totient is φ = 8645369241600.

The previous prime is 22342312324399. The next prime is 22342312324403. The reversal of 22342312324400 is 442321324322.

It is a super-2 number, since 2×22342312324400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22342312324403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32607734 + ... + 33285866.

Almost surely, 2^{22342312324400} is an apocalyptic number.

22342312324400 is a gapful number since it is divisible by the number (20) 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 22342312324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714935124672).

22342312324400 is an abundant number, since it is smaller than the sum of its proper divisors (33087557924944).

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

22342312324400 is a wasteful number, since it uses less digits than its factorization.

22342312324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680839 (or 680828 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22342312324400 its reverse (442321324322), we get a palindrome (22784633648722).

The spelling of 22342312324400 in words is "twenty-two trillion, three hundred forty-two billion, three hundred twelve million, three hundred twenty-four thousand, four hundred".