444174879408 has 240 divisors, whose sum is σ = 1349169585120. Its totient is φ = 125009547264.

The previous prime is 444174879373. The next prime is 444174879409. The reversal of 444174879408 is 804978471444.

It is a super-2 number, since 2×444174879408² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444174879409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6498660 + ... + 6566652.

It is an arithmetic number, because the mean of its divisors is an integer number (5621539938).

Almost surely, 2^444174879408 is an apocalyptic number.

444174879408 is a gapful number since it is divisible by the number (48) 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 444174879408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674584792560).

444174879408 is an abundant number, since it is smaller than the sum of its proper divisors (904994705712).

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

444174879408 is a wasteful number, since it uses less digits than its factorization.

444174879408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68084 (or 68059 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 444174879408 in words is "four hundred forty-four billion, one hundred seventy-four million, eight hundred seventy-nine thousand, four hundred eight".