23444142400 has 252 divisors, whose sum is σ = 70044206368. Its totient is φ = 7564124160.

The previous prime is 23444142331. The next prime is 23444142467. The reversal of 23444142400 is 424144432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3233179 + ... + 3240421.

Almost surely, 2^23444142400 is an apocalyptic number.

23444142400 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 23444142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35022103184).

23444142400 is an abundant number, since it is smaller than the sum of its proper divisors (46600063968).

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

23444142400 is a wasteful number, since it uses less digits than its factorization.

23444142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 23444142400 its reverse (424144432), we get a palindrome (23868286832).

The spelling of 23444142400 in words is "twenty-three billion, four hundred forty-four million, one hundred forty-two thousand, four hundred".