413876330000 has 200 divisors, whose sum is σ = 1147280652672. Its totient is φ = 141640704000.

The previous prime is 413876329963. The next prime is 413876330011. The reversal of 413876330000 is 33678314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 40384877 + ... + 40395123.

Almost surely, 2^413876330000 is an apocalyptic number.

413876330000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413876330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573640326336).

413876330000 is an abundant number, since it is smaller than the sum of its proper divisors (733404322672).

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

413876330000 is a wasteful number, since it uses less digits than its factorization.

413876330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 413876330000 in words is "four hundred thirteen billion, eight hundred seventy-six million, three hundred thirty thousand".