414006583312 has 40 divisors (see below), whose sum is σ = 930411400256. Its totient is φ = 174783159936.

The previous prime is 414006583303. The next prime is 414006583321. The reversal of 414006583312 is 213385600414.

It is an interprime number because it is at equal distance from previous prime (414006583303) and next prime (414006583321).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27578223 + ... + 27593230.

Almost surely, 2^414006583312 is an apocalyptic number.

It is an amenable number.

414006583312 is an abundant number, since it is smaller than the sum of its proper divisors (516404816944).

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

414006583312 is a wasteful number, since it uses less digits than its factorization.

414006583312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55171535 (or 55171529 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 414006583312 in words is "four hundred fourteen billion, six million, five hundred eighty-three thousand, three hundred twelve".