21041414400 has 108 divisors (see below), whose sum is σ = 69441114512. Its totient is φ = 5611038720.

The previous prime is 21041414399. The next prime is 21041414419. The reversal of 21041414400 is 441414012.

It is a super-2 number, since 2×21041414400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528754 + ... + 567153.

Almost surely, 2^21041414400 is an apocalyptic number.

21041414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21041414400 is an abundant number, since it is smaller than the sum of its proper divisors (48399700112).

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

21041414400 is a wasteful number, since it uses less digits than its factorization.

21041414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095936 (or 1095917 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21041414400 its reverse (441414012), we get a palindrome (21482828412).

The spelling of 21041414400 in words is "twenty-one billion, forty-one million, four hundred fourteen thousand, four hundred".