21194342400 has 720 divisors, whose sum is σ = 88935937200. Its totient is φ = 4404019200.

The previous prime is 21194342399. The next prime is 21194342447. The reversal of 21194342400 is 424349112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1926758395 + ... + 1926758405.

It is an arithmetic number, because the mean of its divisors is an integer number (123522135).

Almost surely, 2^21194342400 is an apocalyptic number.

21194342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21194342400 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21194342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44467968600).

21194342400 is an abundant number, since it is smaller than the sum of its proper divisors (67741594800).

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

21194342400 is an frugal number, since it uses more digits than its factorization.

21194342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 21194342400 in words is "twenty-one billion, one hundred ninety-four million, three hundred forty-two thousand, four hundred".