441391458816 has 1280 divisors, whose sum is σ = 1725318144000. Its totient is φ = 108926484480.

The previous prime is 441391458791. The next prime is 441391458877. The reversal of 441391458816 is 618854193144.

441391458816 is a `hidden beast` number, since 4 + 4 + 1 + 39 + 14 + 588 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2962358710 + ... + 2962358858.

It is an arithmetic number, because the mean of its divisors is an integer number (1347904800).

Almost surely, 2^441391458816 is an apocalyptic number.

441391458816 is a gapful number since it is divisible by the number (46) 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 441391458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862659072000).

441391458816 is an abundant number, since it is smaller than the sum of its proper divisors (1283926685184).

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

441391458816 is a wasteful number, since it uses less digits than its factorization.

441391458816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 195 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 441391458816 in words is "four hundred forty-one billion, three hundred ninety-one million, four hundred fifty-eight thousand, eight hundred sixteen".