21342000400 has 60 divisors (see below), whose sum is σ = 58599043072. Its totient is φ = 7317256320.

The previous prime is 21342000391. The next prime is 21342000419. The reversal of 21342000400 is 400024312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3808272 + ... + 3813871.

Almost surely, 2^21342000400 is an apocalyptic number.

21342000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21342000400 is an abundant number, since it is smaller than the sum of its proper divisors (37257042672).

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

21342000400 is a wasteful number, since it uses less digits than its factorization.

21342000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622168 (or 7622157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21342000400 its reverse (400024312), we get a palindrome (21742024712).

The spelling of 21342000400 in words is "twenty-one billion, three hundred forty-two million, four hundred", and thus it is an aban number.