441862114848 has 384 divisors, whose sum is σ = 1527491395584. Its totient is φ = 108481766400.

The previous prime is 441862114843. The next prime is 441862114867. The reversal of 441862114848 is 848411268144.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 441862114848.

It is not an unprimeable number, because it can be changed into a prime (441862114843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9831115 + ... + 9875957.

It is an arithmetic number, because the mean of its divisors is an integer number (3977842176).

Almost surely, 2^441862114848 is an apocalyptic number.

441862114848 is a gapful number since it is divisible by the number (48) 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 441862114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763745697792).

441862114848 is an abundant number, since it is smaller than the sum of its proper divisors (1085629280736).

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

441862114848 is a wasteful number, since it uses less digits than its factorization.

441862114848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44948 (or 44940 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 51.

The spelling of 441862114848 in words is "four hundred forty-one billion, eight hundred sixty-two million, one hundred fourteen thousand, eight hundred forty-eight".