21144310400 has 48 divisors (see below), whose sum is σ = 52233062190. Its totient is φ = 8457722880.

The previous prime is 21144310393. The next prime is 21144310403. The reversal of 21144310400 is 401344112.

It can be written as a sum of positive squares in 3 ways, for example, as 19795364416 + 1348945984 = 140696^2 + 36728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21144310403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3300599 + ... + 3306998.

Almost surely, 2^21144310400 is an apocalyptic number.

21144310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144310400 is an abundant number, since it is smaller than the sum of its proper divisors (31088751790).

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

21144310400 is an equidigital number, since it uses as much as digits as its factorization.

21144310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607621 (or 6607604 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21144310400 its reverse (401344112), we get a palindrome (21545654512).

The spelling of 21144310400 in words is "twenty-one billion, one hundred forty-four million, three hundred ten thousand, four hundred".