444536414160 has 160 divisors (see below), whose sum is σ = 1434697697280. Its totient is φ = 113759023104.

The previous prime is 444536414131. The next prime is 444536414167. The reversal of 444536414160 is 61414635444.

It is a happy number.

It is a super-2 number, since 2×444536414160² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444536414167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305361 + ... + 991119.

It is an arithmetic number, because the mean of its divisors is an integer number (8966860608).

Almost surely, 2^444536414160 is an apocalyptic number.

444536414160 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 444536414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717348848640).

444536414160 is an abundant number, since it is smaller than the sum of its proper divisors (990161283120).

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

444536414160 is a wasteful number, since it uses less digits than its factorization.

444536414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685885 (or 685879 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 444536414160 in words is "four hundred forty-four billion, five hundred thirty-six million, four hundred fourteen thousand, one hundred sixty".