21400314214400 has 144 divisors (see below), whose sum is σ = 57883443738120. Its totient is φ = 7781932236800.

The previous prime is 21400314214393. The next prime is 21400314214429. The reversal of 21400314214400 is 441241300412.

It is a self number, because there is not a number n which added to its sum of digits gives 21400314214400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18435659 + ... + 19562058.

Almost surely, 2^{21400314214400} is an apocalyptic number.

21400314214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21400314214400 is an abundant number, since it is smaller than the sum of its proper divisors (36483129523720).

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

21400314214400 is a wasteful number, since it uses less digits than its factorization.

21400314214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37997760 (or 37997735 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 21400314214400 its reverse (441241300412), we get a palindrome (21841555514812).

The spelling of 21400314214400 in words is "twenty-one trillion, four hundred billion, three hundred fourteen million, two hundred fourteen thousand, four hundred".