444457653120 has 896 divisors, whose sum is σ = 1732117847040. Its totient is φ = 108355387392.

The previous prime is 444457653109. The next prime is 444457653187. The reversal of 444457653120 is 21356754444.

444457653120 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 576 + 53 + 1 + 20 = 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 111 ways as a sum of consecutive naturals, for example, 770290272 + ... + 770290848.

It is an arithmetic number, because the mean of its divisors is an integer number (1933167240).

Almost surely, 2^444457653120 is an apocalyptic number.

444457653120 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 444457653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866058923520).

444457653120 is an abundant number, since it is smaller than the sum of its proper divisors (1287660193920).

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

444457653120 is a wasteful number, since it uses less digits than its factorization.

444457653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 444457653120 in words is "four hundred forty-four billion, four hundred fifty-seven million, six hundred fifty-three thousand, one hundred twenty".