21306370400 has 72 divisors (see below), whose sum is σ = 59444789040. Its totient is φ = 7305039360.

The previous prime is 21306370343. The next prime is 21306370409. The reversal of 21306370400 is 407360312.

It is a super-2 number, since 2×21306370400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21306370400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21306370409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896755 + ... + 1907954.

It is an arithmetic number, because the mean of its divisors is an integer number (825622070).

Almost surely, 2^21306370400 is an apocalyptic number.

21306370400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21306370400 is an abundant number, since it is smaller than the sum of its proper divisors (38138418640).

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

21306370400 is a wasteful number, since it uses less digits than its factorization.

21306370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804736 (or 3804723 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 21306370400 in words is "twenty-one billion, three hundred six million, three hundred seventy thousand, four hundred".