23142130400 has 72 divisors (see below), whose sum is σ = 56716057440. Its totient is φ = 9220751360.

The previous prime is 23142130399. The next prime is 23142130421. The reversal of 23142130400 is 403124132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149321 + ... + 261879.

It is an arithmetic number, because the mean of its divisors is an integer number (787723020).

Almost surely, 2^23142130400 is an apocalyptic number.

23142130400 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 23142130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28358028720).

23142130400 is an abundant number, since it is smaller than the sum of its proper divisors (33573927040).

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

23142130400 is a wasteful number, since it uses less digits than its factorization.

23142130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112836 (or 112823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23142130400 its reverse (403124132), we get a palindrome (23545254532).

The spelling of 23142130400 in words is "twenty-three billion, one hundred forty-two million, one hundred thirty thousand, four hundred".