23133413400 has 96 divisors (see below), whose sum is σ = 71770406400. Its totient is φ = 6164022400.

The previous prime is 23133413383. The next prime is 23133413431. The reversal of 23133413400 is 431433132.

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

It is a congruent number.

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, 776785 + ... + 806015.

It is an arithmetic number, because the mean of its divisors is an integer number (747608400).

Almost surely, 2^23133413400 is an apocalyptic number.

23133413400 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 23133413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35885203200).

23133413400 is an abundant number, since it is smaller than the sum of its proper divisors (48636993000).

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

23133413400 is a wasteful number, since it uses less digits than its factorization.

23133413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30569 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23133413400 its reverse (431433132), we get a palindrome (23564846532).

The spelling of 23133413400 in words is "twenty-three billion, one hundred thirty-three million, four hundred thirteen thousand, four hundred".