444694129152 has 960 divisors, whose sum is σ = 1545885057024. Its totient is φ = 111105146880.

The previous prime is 444694129129. The next prime is 444694129153. The reversal of 444694129152 is 251921496444.

Its product of digits (2488320) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 444694129095 and 444694129104.

It is not an unprimeable number, because it can be changed into a prime (444694129153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3501528513 + ... + 3501528639.

Almost surely, 2^444694129152 is an apocalyptic number.

444694129152 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 444694129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772942528512).

444694129152 is an abundant number, since it is smaller than the sum of its proper divisors (1101190927872).

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

444694129152 is a wasteful number, since it uses less digits than its factorization.

444694129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 444694129152 in words is "four hundred forty-four billion, six hundred ninety-four million, one hundred twenty-nine thousand, one hundred fifty-two".