414204216426 has 288 divisors, whose sum is σ = 1243303483968. Its totient is φ = 97947118080.

The previous prime is 414204216403. The next prime is 414204216427. The reversal of 414204216426 is 624612402414.

414204216426 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 4 + 2 + 1 + 642 + 6 = 666.

414204216426 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414204216427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9184705 + ... + 9229691.

It is an arithmetic number, because the mean of its divisors is an integer number (4317025986).

Almost surely, 2^414204216426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414204216426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621651741984).

414204216426 is an abundant number, since it is smaller than the sum of its proper divisors (829099267542).

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

414204216426 is a wasteful number, since it uses less digits than its factorization.

414204216426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45106 (or 45096 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 414204216426 in words is "four hundred fourteen billion, two hundred four million, two hundred sixteen thousand, four hundred twenty-six".