23123942400 has 1056 divisors, whose sum is σ = 92109104640. Its totient is φ = 5060689920.

The previous prime is 23123942371. The next prime is 23123942459. The reversal of 23123942400 is 424932132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436300774 + ... + 436300826.

Almost surely, 2^23123942400 is an apocalyptic number.

23123942400 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 23123942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46054552320).

23123942400 is an abundant number, since it is smaller than the sum of its proper divisors (68985162240).

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

23123942400 is a wasteful number, since it uses less digits than its factorization.

23123942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 23123942400 in words is "twenty-three billion, one hundred twenty-three million, nine hundred forty-two thousand, four hundred".