413991474336 has 240 divisors, whose sum is σ = 1328982355008. Its totient is φ = 125380224000.

The previous prime is 413991474319. The next prime is 413991474361. The reversal of 413991474336 is 633474199314.

413991474336 is a `hidden beast` number, since 4 + 139 + 9 + 1 + 474 + 3 + 36 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71362636 + ... + 71368436.

Almost surely, 2^413991474336 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 413991474336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664491177504).

413991474336 is an abundant number, since it is smaller than the sum of its proper divisors (914990880672).

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

413991474336 is a wasteful number, since it uses less digits than its factorization.

413991474336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8320 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 413991474336 in words is "four hundred thirteen billion, nine hundred ninety-one million, four hundred seventy-four thousand, three hundred thirty-six".