21073130400 has 576 divisors, whose sum is σ = 82890694656. Its totient is φ = 4548096000.

The previous prime is 21073130381. The next prime is 21073130417. The reversal of 21073130400 is 403137012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22393930 + ... + 22394870.

It is an arithmetic number, because the mean of its divisors is an integer number (143907456).

Almost surely, 2^21073130400 is an apocalyptic number.

21073130400 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 21073130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41445347328).

21073130400 is an abundant number, since it is smaller than the sum of its proper divisors (61817564256).

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

21073130400 is a wasteful number, since it uses less digits than its factorization.

21073130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 21073130400 its reverse (403137012), we get a palindrome (21476267412).

The spelling of 21073130400 in words is "twenty-one billion, seventy-three million, one hundred thirty thousand, four hundred".