23191142400 has 540 divisors, whose sum is σ = 86519821752. Its totient is φ = 6157762560.

The previous prime is 23191142363. The next prime is 23191142423. The reversal of 23191142400 is 424119132.

It is a happy number.

23191142400 is a `hidden beast` number, since 2 + 31 + 91 + 142 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99532684 + ... + 99532916.

Almost surely, 2^23191142400 is an apocalyptic number.

23191142400 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 23191142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43259910876).

23191142400 is an abundant number, since it is smaller than the sum of its proper divisors (63328679352).

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

23191142400 is an frugal number, since it uses more digits than its factorization.

23191142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 23191142400 in words is "twenty-three billion, one hundred ninety-one million, one hundred forty-two thousand, four hundred".