5441956228800 has 4032 divisors, whose sum is σ = 26129988684800. Its totient is φ = 1106127912960.

The previous prime is 5441956228799. The next prime is 5441956228831. The reversal of 5441956228800 is 88226591445.

5441956228800 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 9 + 5 + 622 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×5441956228800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74547345564 + ... + 74547345636.

Almost surely, 2^{5441956228800} is an apocalyptic number.

5441956228800 is a gapful number since it is divisible by the number (50) 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 5441956228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13064994342400).

5441956228800 is an abundant number, since it is smaller than the sum of its proper divisors (20688032456000).

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

5441956228800 is a wasteful number, since it uses less digits than its factorization.

5441956228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5441956228800 in words is "five trillion, four hundred forty-one billion, nine hundred fifty-six million, two hundred twenty-eight thousand, eight hundred".