444744344520 has 768 divisors, whose sum is σ = 1865590272000. Its totient is φ = 92976823296.

The previous prime is 444744344509. The next prime is 444744344521. The reversal of 444744344520 is 25443447444.

444744344520 is a `hidden beast` number, since 4 + 4 + 47 + 4 + 43 + 44 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (444744344521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37484109 + ... + 37495971.

It is an arithmetic number, because the mean of its divisors is an integer number (2429154000).

Almost surely, 2^444744344520 is an apocalyptic number.

444744344520 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 444744344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932795136000).

444744344520 is an abundant number, since it is smaller than the sum of its proper divisors (1420845927480).

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

444744344520 is a wasteful number, since it uses less digits than its factorization.

444744344520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 45.

The spelling of 444744344520 in words is "four hundred forty-four billion, seven hundred forty-four million, three hundred forty-four thousand, five hundred twenty".