413042002000 has 160 divisors (see below), whose sum is σ = 1018957889664. Its totient is φ = 161897472000.

The previous prime is 413042001971. The next prime is 413042002007. The reversal of 413042002000 is 200240314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413042002007) 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, 25854015 + ... + 25869985.

Almost surely, 2^413042002000 is an apocalyptic number.

413042002000 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 413042002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509478944832).

413042002000 is an abundant number, since it is smaller than the sum of its proper divisors (605915887664).

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

413042002000 is a wasteful number, since it uses less digits than its factorization.

413042002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16254 (or 16238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 413042002000 its reverse (200240314), we get a palindrome (413242242314).

The spelling of 413042002000 in words is "four hundred thirteen billion, forty-two million, two thousand".