21444214322304 has 96 divisors (see below), whose sum is σ = 64390915368000. Its totient is φ = 6837285717504.

The previous prime is 21444214322303. The next prime is 21444214322341. The reversal of 21444214322304 is 40322341244412.

21444214322304 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 21 + 4 + 322 + 304 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (21444214322303) 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, 404642404 + ... + 404695395.

It is an arithmetic number, because the mean of its divisors is an integer number (670738701750).

Almost surely, 2^{21444214322304} is an apocalyptic number.

21444214322304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21444214322304 is an abundant number, since it is smaller than the sum of its proper divisors (42946701045696).

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

21444214322304 is a wasteful number, since it uses less digits than its factorization.

21444214322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809337842 (or 809337827 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 21444214322304 its reverse (40322341244412), we get a palindrome (61766555566716).

The spelling of 21444214322304 in words is "twenty-one trillion, four hundred forty-four billion, two hundred fourteen million, three hundred twenty-two thousand, three hundred four".