444496536960 has 256 divisors, whose sum is σ = 1619846691840. Its totient is φ = 101560983552.

The previous prime is 444496536949. The next prime is 444496537013. The reversal of 444496536960 is 69635694444.

It is a happy number.

444496536960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 444496536894 and 444496536903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51699382 + ... + 51707978.

It is an arithmetic number, because the mean of its divisors is an integer number (6327526140).

Almost surely, 2^444496536960 is an apocalyptic number.

444496536960 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 444496536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809923345920).

444496536960 is an abundant number, since it is smaller than the sum of its proper divisors (1175350154880).

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

444496536960 is a wasteful number, since it uses less digits than its factorization.

444496536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 444496536960 in words is "four hundred forty-four billion, four hundred ninety-six million, five hundred thirty-six thousand, nine hundred sixty".