413953477824 has 112 divisors (see below), whose sum is σ = 1133621913600. Its totient is φ = 133155542016.

The previous prime is 413953477801. The next prime is 413953477829. The reversal of 413953477824 is 428774359314.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (413953477829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11000289 + ... + 11037855.

Almost surely, 2^413953477824 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 413953477824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566810956800).

413953477824 is an abundant number, since it is smaller than the sum of its proper divisors (719668435776).

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

413953477824 is a wasteful number, since it uses less digits than its factorization.

413953477824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39590 (or 39580 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 413953477824 in words is "four hundred thirteen billion, nine hundred fifty-three million, four hundred seventy-seven thousand, eight hundred twenty-four".