413881866496 has 288 divisors, whose sum is σ = 985878432000. Its totient is φ = 173299875840.

The previous prime is 413881866493. The next prime is 413881866577. The reversal of 413881866496 is 694668188314.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (413881866493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794398716 + ... + 794399236.

It is an arithmetic number, because the mean of its divisors is an integer number (3423189000).

Almost surely, 2^413881866496 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 413881866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492939216000).

413881866496 is an abundant number, since it is smaller than the sum of its proper divisors (571996565504).

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

413881866496 is an equidigital number, since it uses as much as digits as its factorization.

413881866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 722 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 64.

The spelling of 413881866496 in words is "four hundred thirteen billion, eight hundred eighty-one million, eight hundred sixty-six thousand, four hundred ninety-six".