413204000000 has 252 divisors, whose sum is σ = 1124824352064. Its totient is φ = 150240000000.

The previous prime is 413203999987. The next prime is 413204000003. The reversal of 413204000000 is 402314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413204000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43995305 + ... + 44004695.

Almost surely, 2^413204000000 is an apocalyptic number.

413204000000 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 413204000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562412176032).

413204000000 is an abundant number, since it is smaller than the sum of its proper divisors (711620352064).

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

413204000000 is an frugal number, since it uses more digits than its factorization.

413204000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 413204000000 its reverse (402314), we get a palindrome (413204402314).

The spelling of 413204000000 in words is "four hundred thirteen billion, two hundred four million", and thus it is an aban number.