23032431413400 has 576 divisors, whose sum is σ = 73912019328000. Its totient is φ = 5932815805440.

The previous prime is 23032431413323. The next prime is 23032431413401. The reversal of 23032431413400 is 431413423032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032431413401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44039065539 + ... + 44039066061.

It is an arithmetic number, because the mean of its divisors is an integer number (128319478000).

Almost surely, 2^{23032431413400} is an apocalyptic number.

23032431413400 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 23032431413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36956009664000).

23032431413400 is an abundant number, since it is smaller than the sum of its proper divisors (50879587914600).

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

23032431413400 is a wasteful number, since it uses less digits than its factorization.

23032431413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 23032431413400 its reverse (431413423032), we get a palindrome (23463844836432).

The spelling of 23032431413400 in words is "twenty-three trillion, thirty-two billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred".