414947810394 has 224 divisors, whose sum is σ = 1047317846400. Its totient is φ = 122364224640.

The previous prime is 414947810363. The next prime is 414947810401. The reversal of 414947810394 is 493018749414.

414947810394 is a `hidden beast` number, since 41 + 49 + 478 + 1 + 0 + 3 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 414947810394.

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 111 ways as a sum of consecutive naturals, for example, 76400859 + ... + 76406289.

It is an arithmetic number, because the mean of its divisors is an integer number (4675526100).

Almost surely, 2^414947810394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414947810394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523658923200).

414947810394 is an abundant number, since it is smaller than the sum of its proper divisors (632370036006).

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

414947810394 is a wasteful number, since it uses less digits than its factorization.

414947810394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 414947810394 in words is "four hundred fourteen billion, nine hundred forty-seven million, eight hundred ten thousand, three hundred ninety-four".