412415524105029 has 10 divisors (see below), whose sum is σ = 616077511317510. Its totient is φ = 274943682736632.

The previous prime is 412415524105009. The next prime is 412415524105073. The reversal of 412415524105029 is 920501425514214.

It is a happy number.

412415524105029 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 1 + 552 + 41 + 0 + 50 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331714461780900 + 80701062324129 = 18213030^2 + 8983377^2 .

It is not a de Polignac number, because 412415524105029 - 2¹² = 412415524100933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412415524105009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2545774840074 + ... + 2545774840235.

It is an arithmetic number, because the mean of its divisors is an integer number (61607751131751).

Almost surely, 2^{412415524105029} is an apocalyptic number.

It is an amenable number.

412415524105029 is a deficient number, since it is larger than the sum of its proper divisors (203661987212481).

412415524105029 is an equidigital number, since it uses as much as digits as its factorization.

412415524105029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091549680321 (or 5091549680312 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 412415524105029 in words is "four hundred twelve trillion, four hundred fifteen billion, five hundred twenty-four million, one hundred five thousand, twenty-nine".