414392070312 has 256 divisors, whose sum is σ = 1336969670400. Its totient is φ = 117531648000.

The previous prime is 414392070307. The next prime is 414392070331. The reversal of 414392070312 is 213070293414.

It is a happy number.

414392070312 is a `hidden beast` number, since 4 + 1 + 439 + 207 + 0 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7282612 + ... + 7339292.

It is an arithmetic number, because the mean of its divisors is an integer number (5222537775).

Almost surely, 2^414392070312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414392070312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668484835200).

414392070312 is an abundant number, since it is smaller than the sum of its proper divisors (922577600088).

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

414392070312 is a wasteful number, since it uses less digits than its factorization.

414392070312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56905 (or 56895 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 414392070312 in words is "four hundred fourteen billion, three hundred ninety-two million, seventy thousand, three hundred twelve".