426144191616 has 768 divisors, whose sum is σ = 1564360128000. Its totient is φ = 112895078400.

The previous prime is 426144191609. The next prime is 426144191639. The reversal of 426144191616 is 616191441624.

426144191616 is a `hidden beast` number, since 4 + 2 + 6 + 14 + 4 + 19 + 1 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122067631 + ... + 122071121.

It is an arithmetic number, because the mean of its divisors is an integer number (2036927250).

Almost surely, 2^426144191616 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 426144191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782180064000).

426144191616 is an abundant number, since it is smaller than the sum of its proper divisors (1138215936384).

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

426144191616 is a wasteful number, since it uses less digits than its factorization.

426144191616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3539 counting only the distinct ones).

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

The spelling of 426144191616 in words is "four hundred twenty-six billion, one hundred forty-four million, one hundred ninety-one thousand, six hundred sixteen".