441379283520 has 336 divisors, whose sum is σ = 1631639559168. Its totient is φ = 100796129280.

The previous prime is 441379283503. The next prime is 441379283561. The reversal of 441379283520 is 25382973144.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 441379283520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62136289 + ... + 62143391.

Almost surely, 2^441379283520 is an apocalyptic number.

441379283520 is a gapful number since it is divisible by the number (40) 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 441379283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815819779584).

441379283520 is an abundant number, since it is smaller than the sum of its proper divisors (1190260275648).

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

441379283520 is a wasteful number, since it uses less digits than its factorization.

441379283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 441379283520 in words is "four hundred forty-one billion, three hundred seventy-nine million, two hundred eighty-three thousand, five hundred twenty".