426789171840 has 384 divisors, whose sum is σ = 1412088897600. Its totient is φ = 109638696960.

The previous prime is 426789171763. The next prime is 426789171847. The reversal of 426789171840 is 48171987624.

426789171840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (426789171847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577522191 + ... + 577522929.

Almost surely, 2^426789171840 is an apocalyptic number.

426789171840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426789171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706044448800).

426789171840 is an abundant number, since it is smaller than the sum of its proper divisors (985299725760).

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

426789171840 is a wasteful number, since it uses less digits than its factorization.

426789171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 426789171840 in words is "four hundred twenty-six billion, seven hundred eighty-nine million, one hundred seventy-one thousand, eight hundred forty".