413424242000 has 320 divisors, whose sum is σ = 1248053833728. Its totient is φ = 128681280000.

The previous prime is 413424241999. The next prime is 413424242029. The reversal of 413424242000 is 242424314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151380635 + ... + 151383365.

Almost surely, 2^413424242000 is an apocalyptic number.

413424242000 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 413424242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624026916864).

413424242000 is an abundant number, since it is smaller than the sum of its proper divisors (834629591728).

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

413424242000 is a wasteful number, since it uses less digits than its factorization.

413424242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 413424242000 its reverse (242424314), we get a palindrome (413666666314).

The spelling of 413424242000 in words is "four hundred thirteen billion, four hundred twenty-four million, two hundred forty-two thousand".