426414191616 has 396 divisors, whose sum is σ = 1461364566688. Its totient is φ = 121819189248.

The previous prime is 426414191587. The next prime is 426414191639. The reversal of 426414191616 is 616191414624.

426414191616 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 14 + 19 + 1 + 616 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47024715 + ... + 47033781.

Almost surely, 2^426414191616 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 426414191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730682283344).

426414191616 is an abundant number, since it is smaller than the sum of its proper divisors (1034950375072).

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

426414191616 is an frugal number, since it uses more digits than its factorization.

426414191616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 9079 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 426414191616 in words is "four hundred twenty-six billion, four hundred fourteen million, one hundred ninety-one thousand, six hundred sixteen".