23330414400 has 168 divisors, whose sum is σ = 76838397504. Its totient is φ = 6197452800.

The previous prime is 23330414399. The next prime is 23330414407. The reversal of 23330414400 is 441403332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330414407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253160 + ... + 1271640.

Almost surely, 2^23330414400 is an apocalyptic number.

23330414400 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 23330414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419198752).

23330414400 is an abundant number, since it is smaller than the sum of its proper divisors (53507983104).

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

23330414400 is a wasteful number, since it uses less digits than its factorization.

23330414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769 (or 18754 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23330414400 its reverse (441403332), we get a palindrome (23771817732).

The spelling of 23330414400 in words is "twenty-three billion, three hundred thirty million, four hundred fourteen thousand, four hundred".