441042125325312 has 176 divisors, whose sum is σ = 1343555314819200. Its totient is φ = 126004227735552.

The previous prime is 441042125325301. The next prime is 441042125325313. The reversal of 441042125325312 is 213523521240144.

It is a super-2 number, since 2×441042125325312² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441042125325313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350941648 + ... + 352196144.

Almost surely, 2^{441042125325312} is an apocalyptic number.

441042125325312 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 441042125325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671777657409600).

441042125325312 is an abundant number, since it is smaller than the sum of its proper divisors (902513189493888).

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

441042125325312 is a wasteful number, since it uses less digits than its factorization.

441042125325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270876 (or 1270858 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 441042125325312 its reverse (213523521240144), we get a palindrome (654565646565456).

The spelling of 441042125325312 in words is "four hundred forty-one trillion, forty-two billion, one hundred twenty-five million, three hundred twenty-five thousand, three hundred twelve".