441605254660332 has 192 divisors, whose sum is σ = 1241637448396800. Its totient is φ = 119335307477760.

The previous prime is 441605254660327. The next prime is 441605254660379. The reversal of 441605254660332 is 233066452506144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2901041719 + ... + 2901193937.

It is an arithmetic number, because the mean of its divisors is an integer number (6466861710400).

Almost surely, 2^{441605254660332} is an apocalyptic number.

441605254660332 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 441605254660332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620818724198400).

441605254660332 is an abundant number, since it is smaller than the sum of its proper divisors (800032193736468).

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

441605254660332 is a wasteful number, since it uses less digits than its factorization.

441605254660332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155236 (or 155234 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 441605254660332 in words is "four hundred forty-one trillion, six hundred five billion, two hundred fifty-four million, six hundred sixty thousand, three hundred thirty-two".