441813140496 has 1440 divisors, whose sum is σ = 1739694902400. Its totient is φ = 107226685440.

The previous prime is 441813140443. The next prime is 441813140597. The reversal of 441813140496 is 694041318144.

441813140496 is a `hidden beast` number, since 4 + 4 + 1 + 8 + 13 + 140 + 496 = 666.

It is a super-2 number, since 2×441813140496² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 1929314910 + ... + 1929315138.

It is an arithmetic number, because the mean of its divisors is an integer number (1208121460).

Almost surely, 2^441813140496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441813140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869847451200).

441813140496 is an abundant number, since it is smaller than the sum of its proper divisors (1297881761904).

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

441813140496 is a wasteful number, since it uses less digits than its factorization.

441813140496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 441813140496 in words is "four hundred forty-one billion, eight hundred thirteen million, one hundred forty thousand, four hundred ninety-six".