21114086400 has 528 divisors, whose sum is σ = 84616102080. Its totient is φ = 5116723200.

The previous prime is 21114086363. The next prime is 21114086401. The reversal of 21114086400 is 468041112.

It is a happy number.

21114086400 is a `hidden beast` number, since 2 + 1 + 1 + 14 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (21114086401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7601812 + ... + 7604588.

Almost surely, 2^21114086400 is an apocalyptic number.

21114086400 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 21114086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42308051040).

21114086400 is an abundant number, since it is smaller than the sum of its proper divisors (63502015680).

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

21114086400 is a wasteful number, since it uses less digits than its factorization.

21114086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 21114086400 in words is "twenty-one billion, one hundred fourteen million, eighty-six thousand, four hundred".