444613877040 has 160 divisors (see below), whose sum is σ = 1408108446720. Its totient is φ = 116026380288.

The previous prime is 444613877039. The next prime is 444613877047. The reversal of 444613877040 is 40778316444.

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

It is not an unprimeable number, because it can be changed into a prime (444613877047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2038719 + ... + 2246241.

It is an arithmetic number, because the mean of its divisors is an integer number (8800677792).

Almost surely, 2^444613877040 is an apocalyptic number.

444613877040 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 444613877040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704054223360).

444613877040 is an abundant number, since it is smaller than the sum of its proper divisors (963494569680).

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

444613877040 is a wasteful number, since it uses less digits than its factorization.

444613877040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207731 (or 207725 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 444613877040 in words is "four hundred forty-four billion, six hundred thirteen million, eight hundred seventy-seven thousand, forty".