21140582400 has 936 divisors, whose sum is σ = 90314621280. Its totient is φ = 4624220160.

The previous prime is 21140582381. The next prime is 21140582431. The reversal of 21140582400 is 428504112.

21140582400 is a `hidden beast` number, since 2 + 1 + 1 + 40 + 582 + 40 + 0 = 666.

It is a super-2 number, since 2×21140582400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187084744 + ... + 187084856.

It is an arithmetic number, because the mean of its divisors is an integer number (96489980).

Almost surely, 2^21140582400 is an apocalyptic number.

21140582400 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 21140582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45157310640).

21140582400 is an abundant number, since it is smaller than the sum of its proper divisors (69174038880).

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

21140582400 is a wasteful number, since it uses less digits than its factorization.

21140582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 21140582400 in words is "twenty-one billion, one hundred forty million, five hundred eighty-two thousand, four hundred".