444439160640 has 336 divisors, whose sum is σ = 1569300595200. Its totient is φ = 115409608704.

The previous prime is 444439160639. The next prime is 444439160651. The reversal of 444439160640 is 46061934444.

444439160640 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 39 + 1 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16595581 + ... + 16622339.

Almost surely, 2^444439160640 is an apocalyptic number.

444439160640 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 444439160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784650297600).

444439160640 is an abundant number, since it is smaller than the sum of its proper divisors (1124861434560).

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

444439160640 is a wasteful number, since it uses less digits than its factorization.

444439160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26934 (or 26921 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 444439160640 in words is "four hundred forty-four billion, four hundred thirty-nine million, one hundred sixty thousand, six hundred forty".