444121355160 has 256 divisors, whose sum is σ = 1697011891200. Its totient is φ = 101206195200.

The previous prime is 444121355143. The next prime is 444121355179. The reversal of 444121355160 is 61553121444.

444121355160 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 2 + 135 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2413620 + ... + 2591100.

It is an arithmetic number, because the mean of its divisors is an integer number (6628952700).

Almost surely, 2^444121355160 is an apocalyptic number.

444121355160 is a gapful number since it is divisible by the number (40) 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 444121355160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848505945600).

444121355160 is an abundant number, since it is smaller than the sum of its proper divisors (1252890536040).

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

444121355160 is a wasteful number, since it uses less digits than its factorization.

444121355160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177839 (or 177829 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 444121355160 in words is "four hundred forty-four billion, one hundred twenty-one million, three hundred fifty-five thousand, one hundred sixty".