21454514400 has 144 divisors (see below), whose sum is σ = 76183123968. Its totient is φ = 5201088000.

The previous prime is 21454514377. The next prime is 21454514423. The reversal of 21454514400 is 441545412.

It is an interprime number because it is at equal distance from previous prime (21454514377) and next prime (21454514423).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379936 + ... + 432735.

It is an arithmetic number, because the mean of its divisors is an integer number (529049472).

Almost surely, 2^21454514400 is an apocalyptic number.

21454514400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21454514400 is an abundant number, since it is smaller than the sum of its proper divisors (54728609568).

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

21454514400 is a wasteful number, since it uses less digits than its factorization.

21454514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812705 (or 812692 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 21454514400 in words is "twenty-one billion, four hundred fifty-four million, five hundred fourteen thousand, four hundred".