426228190080 has 512 divisors, whose sum is σ = 1699540254720. Its totient is φ = 88269004800.

The previous prime is 426228190061. The next prime is 426228190111. The reversal of 426228190080 is 80091822624.

It is a super-2 number, since 2×426228190080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45382185 + ... + 45391575.

It is an arithmetic number, because the mean of its divisors is an integer number (3319414560).

Almost surely, 2^426228190080 is an apocalyptic number.

426228190080 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 426228190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849770127360).

426228190080 is an abundant number, since it is smaller than the sum of its proper divisors (1273312064640).

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

426228190080 is a wasteful number, since it uses less digits than its factorization.

426228190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9738 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 426228190080 in words is "four hundred twenty-six billion, two hundred twenty-eight million, one hundred ninety thousand, eighty".