413511045200 has 120 divisors (see below), whose sum is σ = 1084145000160. Its totient is φ = 150316300800.

The previous prime is 413511045151. The next prime is 413511045203. The reversal of 413511045200 is 2540115314.

It is a self number, because there is not a number n which added to its sum of digits gives 413511045200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413511045203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14325182 + ... + 14354018.

It is an arithmetic number, because the mean of its divisors is an integer number (9034541668).

Almost surely, 2^413511045200 is an apocalyptic number.

413511045200 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 413511045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542072500080).

413511045200 is an abundant number, since it is smaller than the sum of its proper divisors (670633954960).

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

413511045200 is a wasteful number, since it uses less digits than its factorization.

413511045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32125 (or 32114 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 413511045200 in words is "four hundred thirteen billion, five hundred eleven million, forty-five thousand, two hundred".