21144214204320 has 96 divisors (see below), whose sum is σ = 66625336838592. Its totient is φ = 5636674086912.

The previous prime is 21144214204313. The next prime is 21144214204327. The reversal of 21144214204320 is 2340241244112.

It is an interprime number because it is at equal distance from previous prime (21144214204313) and next prime (21144214204327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21144214204327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5445157 + ... + 8481636.

It is an arithmetic number, because the mean of its divisors is an integer number (694013925402).

Almost surely, 2^{21144214204320} is an apocalyptic number.

21144214204320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144214204320 is an abundant number, since it is smaller than the sum of its proper divisors (45481122634272).

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

21144214204320 is a wasteful number, since it uses less digits than its factorization.

21144214204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13929974 (or 13929966 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 21144214204320 its reverse (2340241244112), we get a palindrome (23484455448432).

The spelling of 21144214204320 in words is "twenty-one trillion, one hundred forty-four billion, two hundred fourteen million, two hundred four thousand, three hundred twenty".