413942630976 has 336 divisors, whose sum is σ = 1482077076480. Its totient is φ = 107721031680.

The previous prime is 413942630929. The next prime is 413942630989. The reversal of 413942630976 is 679036249314.

It is a happy number.

413942630976 is a `hidden beast` number, since 413 + 94 + 26 + 30 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027460 + ... + 2222268.

It is an arithmetic number, because the mean of its divisors is an integer number (4410943680).

Almost surely, 2^413942630976 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 413942630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741038538240).

413942630976 is an abundant number, since it is smaller than the sum of its proper divisors (1068134445504).

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

413942630976 is a wasteful number, since it uses less digits than its factorization.

413942630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194882 (or 194869 counting only the distinct ones).

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

The spelling of 413942630976 in words is "four hundred thirteen billion, nine hundred forty-two million, six hundred thirty thousand, nine hundred seventy-six".