414812384064 has 448 divisors, whose sum is σ = 1335911252480. Its totient is φ = 127019280384.

The previous prime is 414812384011. The next prime is 414812384083. The reversal of 414812384064 is 460483218414.

414812384064 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 1 + 238 + 406 + 4 = 666.

It is a congruent number.

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, 504024357 + ... + 504025179.

It is an arithmetic number, because the mean of its divisors is an integer number (2981944760).

Almost surely, 2^414812384064 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 414812384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667955626240).

414812384064 is an abundant number, since it is smaller than the sum of its proper divisors (921098868416).

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

414812384064 is an equidigital number, since it uses as much as digits as its factorization.

414812384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 414812384064 in words is "four hundred fourteen billion, eight hundred twelve million, three hundred eighty-four thousand, sixty-four".