413211776656 has 80 divisors (see below), whose sum is σ = 937530494208. Its totient is φ = 172726272000.

The previous prime is 413211776633. The next prime is 413211776669. The reversal of 413211776656 is 656677112314.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22036821 + ... + 22055563.

Almost surely, 2^413211776656 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 413211776656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468765247104).

413211776656 is an abundant number, since it is smaller than the sum of its proper divisors (524318717552).

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

413211776656 is a wasteful number, since it uses less digits than its factorization.

413211776656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23600 (or 23594 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The spelling of 413211776656 in words is "four hundred thirteen billion, two hundred eleven million, seven hundred seventy-six thousand, six hundred fifty-six".