413164707200 has 288 divisors, whose sum is σ = 1189976961600. Its totient is φ = 141335040000.

The previous prime is 413164707191. The next prime is 413164707247. The reversal of 413164707200 is 2707461314.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 75104450 + ... + 75109950.

It is an arithmetic number, because the mean of its divisors is an integer number (4131864450).

Almost surely, 2^413164707200 is an apocalyptic number.

413164707200 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 413164707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594988480800).

413164707200 is an abundant number, since it is smaller than the sum of its proper divisors (776812254400).

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

413164707200 is a wasteful number, since it uses less digits than its factorization.

413164707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 413164707200 in words is "four hundred thirteen billion, one hundred sixty-four million, seven hundred seven thousand, two hundred".