413321103200 has 72 divisors (see below), whose sum is σ = 1009108928520. Its totient is φ = 165313894400.

The previous prime is 413321103137. The next prime is 413321103211. The reversal of 413321103200 is 2301123314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18141416 + ... + 18164184.

It is an arithmetic number, because the mean of its divisors is an integer number (14015401785).

Almost surely, 2^413321103200 is an apocalyptic number.

413321103200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413321103200 is an abundant number, since it is smaller than the sum of its proper divisors (595787825320).

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

413321103200 is a wasteful number, since it uses less digits than its factorization.

413321103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45480 (or 45467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413321103200 its reverse (2301123314), we get a palindrome (415622226514).

The spelling of 413321103200 in words is "four hundred thirteen billion, three hundred twenty-one million, one hundred three thousand, two hundred".