444394131408 has 160 divisors (see below), whose sum is σ = 1286398022400. Its totient is φ = 146877179904.

The previous prime is 444394131397. The next prime is 444394131463. The reversal of 444394131408 is 804131493444.

444394131408 is a `hidden beast` number, since 44 + 439 + 4 + 131 + 40 + 8 = 666.

It is a super-2 number, since 2×444394131408² (a number of 24 digits) contains 22 as substring.

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, 56398413 + ... + 56406291.

It is an arithmetic number, because the mean of its divisors is an integer number (8039987640).

Almost surely, 2^444394131408 is an apocalyptic number.

444394131408 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 444394131408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643199011200).

444394131408 is an abundant number, since it is smaller than the sum of its proper divisors (842003890992).

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

444394131408 is a wasteful number, since it uses less digits than its factorization.

444394131408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 444394131408 in words is "four hundred forty-four billion, three hundred ninety-four million, one hundred thirty-one thousand, four hundred eight".