10413304200 has 288 divisors, whose sum is σ = 38022566400. Its totient is φ = 2538708480.

The previous prime is 10413304193. The next prime is 10413304207. The reversal of 10413304200 is 240331401.

It is an interprime number because it is at equal distance from previous prime (10413304193) and next prime (10413304207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10413304207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2501721 + ... + 2505879.

It is an arithmetic number, because the mean of its divisors is an integer number (132022800).

Almost surely, 2^10413304200 is an apocalyptic number.

10413304200 is a gapful number since it is divisible by the number (10) 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 10413304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19011283200).

10413304200 is an abundant number, since it is smaller than the sum of its proper divisors (27609262200).

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

10413304200 is a wasteful number, since it uses less digits than its factorization.

10413304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10413304200 its reverse (240331401), we get a palindrome (10653635601).

The spelling of 10413304200 in words is "ten billion, four hundred thirteen million, three hundred four thousand, two hundred".