444049908480 has 864 divisors, whose sum is σ = 1654643966976. Its totient is φ = 109690454016.

The previous prime is 444049908469. The next prime is 444049908487. The reversal of 444049908480 is 84809940444.

444049908480 is a `hidden beast` number, since 4 + 440 + 49 + 9 + 0 + 84 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (444049908487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1446416487 + ... + 1446416793.

It is an arithmetic number, because the mean of its divisors is an integer number (1915097184).

Almost surely, 2^444049908480 is an apocalyptic number.

444049908480 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 444049908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827321983488).

444049908480 is an abundant number, since it is smaller than the sum of its proper divisors (1210594058496).

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

444049908480 is a wasteful number, since it uses less digits than its factorization.

444049908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 444049908480 in words is "four hundred forty-four billion, forty-nine million, nine hundred eight thousand, four hundred eighty".