444044848800 has 288 divisors, whose sum is σ = 1675116785664. Its totient is φ = 100066176000.

The previous prime is 444044848789. The next prime is 444044848817. The reversal of 444044848800 is 8848440444.

It is a super-2 number, since 2×444044848800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 444044848800.

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, 1006665 + ... + 1378935.

It is an arithmetic number, because the mean of its divisors is an integer number (5816377728).

Almost surely, 2^444044848800 is an apocalyptic number.

444044848800 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 444044848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837558392832).

444044848800 is an abundant number, since it is smaller than the sum of its proper divisors (1231071936864).

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

444044848800 is a wasteful number, since it uses less digits than its factorization.

444044848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372372 (or 372359 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 444044848800 in words is "four hundred forty-four billion, forty-four million, eight hundred forty-eight thousand, eight hundred".