413412425314120 has 32 divisors (see below), whose sum is σ = 930510519939000. Its totient is φ = 165305847817728.

The previous prime is 413412425314087. The next prime is 413412425314153. The reversal of 413412425314120 is 21413524214314.

It is an interprime number because it is at equal distance from previous prime (413412425314087) and next prime (413412425314153).

It can be written as a sum of positive squares in 4 ways, for example, as 370043009196004 + 43369416118116 = 19236502^2 + 6585546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413412425314120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1847458845 + ... + 1847682604.

Almost surely, 2^{413412425314120} is an apocalyptic number.

413412425314120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413412425314120 is an abundant number, since it is smaller than the sum of its proper divisors (517098094624880).

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

413412425314120 is a wasteful number, since it uses less digits than its factorization.

413412425314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695144257 (or 3695144253 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 413412425314120 its reverse (21413524214314), we get a palindrome (434825949528434).

The spelling of 413412425314120 in words is "four hundred thirteen trillion, four hundred twelve billion, four hundred twenty-five million, three hundred fourteen thousand, one hundred twenty".