21142510400 has 168 divisors, whose sum is σ = 58288891296. Its totient is φ = 7480166400.

The previous prime is 21142510397. The next prime is 21142510421. The reversal of 21142510400 is 401524112.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 634967 + ... + 667433.

Almost surely, 2^21142510400 is an apocalyptic number.

21142510400 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 21142510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29144445648).

21142510400 is an abundant number, since it is smaller than the sum of its proper divisors (37146380896).

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

21142510400 is a wasteful number, since it uses less digits than its factorization.

21142510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32537 (or 32522 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 21142510400 in words is "twenty-one billion, one hundred forty-two million, five hundred ten thousand, four hundred".