21444262479360 has 1280 divisors, whose sum is σ = 90126094417920. Its totient is φ = 4729480151040.

The previous prime is 21444262479349. The next prime is 21444262479377. The reversal of 21444262479360 is 6397426244412.

21444262479360 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 2 + 624 + 7 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21444262479297 and 21444262479306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5594640004 + ... + 5594643836.

It is an arithmetic number, because the mean of its divisors is an integer number (70411011264).

Almost surely, 2^{21444262479360} is an apocalyptic number.

21444262479360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21444262479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45063047208960).

21444262479360 is an abundant number, since it is smaller than the sum of its proper divisors (68681831938560).

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

21444262479360 is a wasteful number, since it uses less digits than its factorization.

21444262479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 21444262479360 in words is "twenty-one trillion, four hundred forty-four billion, two hundred sixty-two million, four hundred seventy-nine thousand, three hundred sixty".