441838813666734 has 96 divisors (see below), whose sum is σ = 1050723221393664. Its totient is φ = 133073182189440.

The previous prime is 441838813666693. The next prime is 441838813666781. The reversal of 441838813666734 is 437666318838144.

It is a super-4 number, since 4×441838813666734⁴ (a number of 60 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282363922 + ... + 283924394.

It is an arithmetic number, because the mean of its divisors is an integer number (10945033556184).

Almost surely, 2^{441838813666734} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441838813666734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525361610696832).

441838813666734 is an abundant number, since it is smaller than the sum of its proper divisors (608884407726930).

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

441838813666734 is a wasteful number, since it uses less digits than its factorization.

441838813666734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569222 (or 1569219 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 441838813666734 in words is "four hundred forty-one trillion, eight hundred thirty-eight billion, eight hundred thirteen million, six hundred sixty-six thousand, seven hundred thirty-four".