21233143010400 has 72 divisors (see below), whose sum is σ = 69113880506664. Its totient is φ = 5662171468800.

The previous prime is 21233143010377. The next prime is 21233143010411. The reversal of 21233143010400 is 401034133212.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4423569061 + ... + 4423573860.

It is an arithmetic number, because the mean of its divisors is an integer number (959915007037).

Almost surely, 2^{21233143010400} is an apocalyptic number.

21233143010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233143010400 is an abundant number, since it is smaller than the sum of its proper divisors (47880737496264).

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

21233143010400 is a wasteful number, since it uses less digits than its factorization.

21233143010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847142944 (or 8847142931 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21233143010400 its reverse (401034133212), we get a palindrome (21634177143612).

The spelling of 21233143010400 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred forty-three million, ten thousand, four hundred".