7401217365456 has 80 divisors (see below), whose sum is σ = 19321227671808. Its totient is φ = 2441113920000.

The previous prime is 7401217365449. The next prime is 7401217365461. The reversal of 7401217365456 is 6545637121047.

It is a junction number, because it is equal to n+sod(n) for n = 7401217365399 and 7401217365408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7264281 + ... + 8220231.

Almost surely, 2^{7401217365456} 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 7401217365456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660613835904).

7401217365456 is an abundant number, since it is smaller than the sum of its proper divisors (11920010306352).

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

7401217365456 is a wasteful number, since it uses less digits than its factorization.

7401217365456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957660 (or 957654 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 7401217365456 in words is "seven trillion, four hundred one billion, two hundred seventeen million, three hundred sixty-five thousand, four hundred fifty-six".