7441182564816 has 480 divisors, whose sum is σ = 26194564297728. Its totient is φ = 1767410012160.

The previous prime is 7441182564797. The next prime is 7441182564817. The reversal of 7441182564816 is 6184652811447.

It is a happy number.

It is a super-2 number, since 2×7441182564816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7441182564817) 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, 66779100 + ... + 66890436.

Almost surely, 2^{7441182564816} 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 7441182564816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13097282148864).

7441182564816 is an abundant number, since it is smaller than the sum of its proper divisors (18753381732912).

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

7441182564816 is a wasteful number, since it uses less digits than its factorization.

7441182564816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111499 (or 111480 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The spelling of 7441182564816 in words is "seven trillion, four hundred forty-one billion, one hundred eighty-two million, five hundred sixty-four thousand, eight hundred sixteen".