21424202400 has 576 divisors, whose sum is σ = 80488598400. Its totient is φ = 4913233920.

The previous prime is 21424202377. The next prime is 21424202411. The reversal of 21424202400 is 420242412.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22480324 + ... + 22481276.

It is an arithmetic number, because the mean of its divisors is an integer number (139737150).

Almost surely, 2^21424202400 is an apocalyptic number.

21424202400 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 21424202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40244299200).

21424202400 is an abundant number, since it is smaller than the sum of its proper divisors (59064396000).

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

21424202400 is a wasteful number, since it uses less digits than its factorization.

21424202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 21424202400 its reverse (420242412), we get a palindrome (21844444812).

The spelling of 21424202400 in words is "twenty-one billion, four hundred twenty-four million, two hundred two thousand, four hundred".