23242232413400 has 1152 divisors, whose sum is σ = 76174199539200. Its totient is φ = 6411930624000.

The previous prime is 23242232413369. The next prime is 23242232413423. The reversal of 23242232413400 is 431423224232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5327119619 + ... + 5327123981.

It is an arithmetic number, because the mean of its divisors is an integer number (66123437100).

Almost surely, 2^{23242232413400} is an apocalyptic number.

23242232413400 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 23242232413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38087099769600).

23242232413400 is an abundant number, since it is smaller than the sum of its proper divisors (52931967125800).

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

23242232413400 is a wasteful number, since it uses less digits than its factorization.

23242232413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4501 counting only the distinct ones).

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

Adding to 23242232413400 its reverse (431423224232), we get a palindrome (23673655637632).

It can be divided in two parts, 23242232 and 413400, that added together give a palindrome (23655632).

The spelling of 23242232413400 in words is "twenty-three trillion, two hundred forty-two billion, two hundred thirty-two million, four hundred thirteen thousand, four hundred".