23224312320400 has 120 divisors (see below), whose sum is σ = 56253436424640. Its totient is φ = 9213765496320.

The previous prime is 23224312320367. The next prime is 23224312320437. The reversal of 23224312320400 is 402321342232.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56116629 + ... + 56528971.

It is an arithmetic number, because the mean of its divisors is an integer number (468778636872).

Almost surely, 2^{23224312320400} is an apocalyptic number.

23224312320400 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 23224312320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28126718212320).

23224312320400 is an abundant number, since it is smaller than the sum of its proper divisors (33029124104240).

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

23224312320400 is a wasteful number, since it uses less digits than its factorization.

23224312320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413513 (or 413502 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23224312320400 its reverse (402321342232), we get a palindrome (23626633662632).

The spelling of 23224312320400 in words is "twenty-three trillion, two hundred twenty-four billion, three hundred twelve million, three hundred twenty thousand, four hundred".