441249693696 has 640 divisors, whose sum is σ = 1539475872000. Its totient is φ = 122305904640.

The previous prime is 441249693679. The next prime is 441249693713. The reversal of 441249693696 is 696396942144.

441249693696 is a `hidden beast` number, since 4 + 412 + 49 + 6 + 93 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (441249693679) and next prime (441249693713).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6044516316 + ... + 6044516388.

It is an arithmetic number, because the mean of its divisors is an integer number (2405431050).

Almost surely, 2^441249693696 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 441249693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769737936000).

441249693696 is an abundant number, since it is smaller than the sum of its proper divisors (1098226178304).

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

441249693696 is an frugal number, since it uses more digits than its factorization.

441249693696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 146 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 441249693696 in words is "four hundred forty-one billion, two hundred forty-nine million, six hundred ninety-three thousand, six hundred ninety-six".