441693361041408 has 1248 divisors, whose sum is σ = 1586718414328320. Its totient is φ = 118867395870720.

The previous prime is 441693361041403. The next prime is 441693361041463. The reversal of 441693361041408 is 804140163396144.

It is a happy number.

441693361041408 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 9 + 3 + 3 + 610 + 4 + 14 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441693361041403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26693250991 + ... + 26693267537.

It is an arithmetic number, because the mean of its divisors is an integer number (1271408985840).

Almost surely, 2^{441693361041408} is an apocalyptic number.

441693361041408 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 441693361041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793359207164160).

441693361041408 is an abundant number, since it is smaller than the sum of its proper divisors (1145025053286912).

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

441693361041408 is a wasteful number, since it uses less digits than its factorization.

441693361041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16686 (or 16629 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 441693361041408 in words is "four hundred forty-one trillion, six hundred ninety-three billion, three hundred sixty-one million, forty-one thousand, four hundred eight".