444242527092 has 288 divisors, whose sum is σ = 1394852659200. Its totient is φ = 116086037760.

The previous prime is 444242527087. The next prime is 444242527117. The reversal of 444242527092 is 290725242444.

444242527092 is a `hidden beast` number, since 4 + 442 + 4 + 2 + 52 + 70 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171454717 + ... + 171457307.

It is an arithmetic number, because the mean of its divisors is an integer number (4843238400).

Almost surely, 2^444242527092 is an apocalyptic number.

444242527092 is a gapful number since it is divisible by the number (42) 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 444242527092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697426329600).

444242527092 is an abundant number, since it is smaller than the sum of its proper divisors (950610132108).

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

444242527092 is a wasteful number, since it uses less digits than its factorization.

444242527092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 444242527092 in words is "four hundred forty-four billion, two hundred forty-two million, five hundred twenty-seven thousand, ninety-two".