23033230124400 has 240 divisors, whose sum is σ = 82126874257920. Its totient is φ = 6131283321600.

The previous prime is 23033230124389. The next prime is 23033230124449. The reversal of 23033230124400 is 442103233032.

23033230124400 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 3 + 230 + 1 + 24 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4186345 + ... + 7974455.

It is an arithmetic number, because the mean of its divisors is an integer number (342195309408).

Almost surely, 2^{23033230124400} is an apocalyptic number.

23033230124400 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 23033230124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41063437128960).

23033230124400 is an abundant number, since it is smaller than the sum of its proper divisors (59093644133520).

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

23033230124400 is a wasteful number, since it uses less digits than its factorization.

23033230124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788701 (or 3788684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23033230124400 its reverse (442103233032), we get a palindrome (23475333357432).

The spelling of 23033230124400 in words is "twenty-three trillion, thirty-three billion, two hundred thirty million, one hundred twenty-four thousand, four hundred".