441364542613434 has 192 divisors, whose sum is σ = 1071518411538432. Its totient is φ = 130152931171200.

The previous prime is 441364542613403. The next prime is 441364542613457. The reversal of 441364542613434 is 434316245463144.

It is a happy number.

441364542613434 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 6 + 4 + 542 + 61 + 3 + 4 + 34 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2880009399 + ... + 2880162645.

It is an arithmetic number, because the mean of its divisors is an integer number (5580825060096).

Almost surely, 2^{441364542613434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441364542613434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535759205769216).

441364542613434 is an abundant number, since it is smaller than the sum of its proper divisors (630153868924998).

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

441364542613434 is a wasteful number, since it uses less digits than its factorization.

441364542613434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155081 (or 155078 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 441364542613434 in words is "four hundred forty-one trillion, three hundred sixty-four billion, five hundred forty-two million, six hundred thirteen thousand, four hundred thirty-four".