444132443301120 has 432 divisors, whose sum is σ = 1757877401210112. Its totient is φ = 101417504440320.

The previous prime is 444132443301089. The next prime is 444132443301137. The reversal of 444132443301120 is 21103344231444.

444132443301120 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 324 + 4 + 3 + 301 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80468844 + ... + 85810836.

Almost surely, 2^{444132443301120} is an apocalyptic number.

444132443301120 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 444132443301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878938700605056).

444132443301120 is an abundant number, since it is smaller than the sum of its proper divisors (1313744957908992).

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

444132443301120 is a wasteful number, since it uses less digits than its factorization.

444132443301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343058 (or 5343041 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444132443301120 its reverse (21103344231444), we get a palindrome (465235787532564).

The spelling of 444132443301120 in words is "four hundred forty-four trillion, one hundred thirty-two billion, four hundred forty-three million, three hundred one thousand, one hundred twenty".