406114413615 has 48 divisors (see below), whose sum is σ = 705758376960. Its totient is φ = 216033048000.

The previous prime is 406114413581. The next prime is 406114413619. The reversal of 406114413615 is 516314411604.

406114413615 is a `hidden beast` number, since 4 + 0 + 611 + 4 + 4 + 1 + 36 + 1 + 5 = 666.

It is not a de Polignac number, because 406114413615 - 2¹⁷ = 406114282543 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406114413615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406114413619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28346844 + ... + 28361166.

It is an arithmetic number, because the mean of its divisors is an integer number (14703299520).

Almost surely, 2^406114413615 is an apocalyptic number.

406114413615 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406114413615 is a deficient number, since it is larger than the sum of its proper divisors (299643963345).

406114413615 is a wasteful number, since it uses less digits than its factorization.

406114413615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 15921 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 406114413615 in words is "four hundred six billion, one hundred fourteen million, four hundred thirteen thousand, six hundred fifteen".