426190468160 has 112 divisors (see below), whose sum is σ = 1051719562800. Its totient is φ = 164306386944.

The previous prime is 426190468153. The next prime is 426190468177. The reversal of 426190468160 is 61864091624.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 125219730496 + 300970737664 = 353864^2 + 548608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5239964 + ... + 5320676.

Almost surely, 2^426190468160 is an apocalyptic number.

426190468160 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 426190468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525859781400).

426190468160 is an abundant number, since it is smaller than the sum of its proper divisors (625529094640).

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

426190468160 is a wasteful number, since it uses less digits than its factorization.

426190468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81328 (or 81318 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 426190468160 in words is "four hundred twenty-six billion, one hundred ninety million, four hundred sixty-eight thousand, one hundred sixty".