413203327721600 has 192 divisors, whose sum is σ = 1099444364572680. Its totient is φ = 152541782016000.

The previous prime is 413203327721533. The next prime is 413203327721623. The reversal of 413203327721600 is 6127723302314.

It can be written as a sum of positive squares in 12 ways, for example, as 92835999900736 + 320367327820864 = 9635144^2 + 17898808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247979240 + ... + 249639960.

Almost surely, 2^{413203327721600} is an apocalyptic number.

413203327721600 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 413203327721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549722182286340).

413203327721600 is an abundant number, since it is smaller than the sum of its proper divisors (686241036851080).

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

413203327721600 is a wasteful number, since it uses less digits than its factorization.

413203327721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666739 (or 1666722 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 413203327721600 in words is "four hundred thirteen trillion, two hundred three billion, three hundred twenty-seven million, seven hundred twenty-one thousand, six hundred".