21311242400 has 288 divisors, whose sum is σ = 61578558720. Its totient is φ = 7050240000.

The previous prime is 21311242399. The next prime is 21311242409. The reversal of 21311242400 is 424211312.

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 (21311242409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23189141 + ... + 23190059.

It is an arithmetic number, because the mean of its divisors is an integer number (213814440).

Almost surely, 2^21311242400 is an apocalyptic number.

21311242400 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 21311242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30789279360).

21311242400 is an abundant number, since it is smaller than the sum of its proper divisors (40267316320).

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

21311242400 is a wasteful number, since it uses less digits than its factorization.

21311242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1075 counting only the distinct ones).

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

Adding to 21311242400 its reverse (424211312), we get a palindrome (21735453712).

The spelling of 21311242400 in words is "twenty-one billion, three hundred eleven million, two hundred forty-two thousand, four hundred".