444161672000 has 224 divisors, whose sum is σ = 1117069664256. Its totient is φ = 174924288000.

The previous prime is 444161671931. The next prime is 444161672011. The reversal of 444161672000 is 276161444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139190405 + ... + 139193595.

It is an arithmetic number, because the mean of its divisors is an integer number (4986918144).

Almost surely, 2^444161672000 is an apocalyptic number.

444161672000 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 444161672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558534832128).

444161672000 is an abundant number, since it is smaller than the sum of its proper divisors (672907992256).

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

444161672000 is a wasteful number, since it uses less digits than its factorization.

444161672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 444161672000 in words is "four hundred forty-four billion, one hundred sixty-one million, six hundred seventy-two thousand".