21310414400 has 84 divisors (see below), whose sum is σ = 57203980080. Its totient is φ = 7749235200.

The previous prime is 21310414369. The next prime is 21310414403. The reversal of 21310414400 is 441401312.

It is a super-3 number, since 3×21310414400³ (a number of 32 digits) contains 333 as substring.

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 (21310414403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587810 + ... + 623009.

Almost surely, 2^21310414400 is an apocalyptic number.

21310414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21310414400 is an abundant number, since it is smaller than the sum of its proper divisors (35893565680).

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

21310414400 is a wasteful number, since it uses less digits than its factorization.

21310414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210852 (or 1210837 counting only the distinct ones).

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

Adding to 21310414400 its reverse (441401312), we get a palindrome (21751815712).

The spelling of 21310414400 in words is "twenty-one billion, three hundred ten million, four hundred fourteen thousand, four hundred".