413149416290 has 32 divisors (see below), whose sum is σ = 806720085360. Its totient is φ = 151433985024.

The previous prime is 413149416283. The next prime is 413149416349. The reversal of 413149416290 is 92614941314.

It is a happy number.

It is a Cunningham number, because it is equal to 642767²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 242685302161 + 170464114129 = 492631^2 + 412873^2 .

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 15 ways as a sum of consecutive naturals, for example, 11580995 + ... + 11616614.

Almost surely, 2^413149416290 is an apocalyptic number.

413149416290 is a deficient number, since it is larger than the sum of its proper divisors (393570669070).

413149416290 is a wasteful number, since it uses less digits than its factorization.

413149416290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23197766.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 413149416290 in words is "four hundred thirteen billion, one hundred forty-nine million, four hundred sixteen thousand, two hundred ninety".