426228822624 has 96 divisors (see below), whose sum is σ = 1222071822720. Its totient is φ = 129000729600.

The previous prime is 426228822623. The next prime is 426228822671.

426228822624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426228822623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607572 + ... + 1105260.

It is an arithmetic number, because the mean of its divisors is an integer number (12729914820).

Almost surely, 2^426228822624 is an apocalyptic number.

426228822624 is a gapful number since it is divisible by the number (44) 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 426228822624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611035911360).

426228822624 is an abundant number, since it is smaller than the sum of its proper divisors (795843000096).

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

426228822624 is a wasteful number, since it uses less digits than its factorization.

426228822624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498524 (or 498516 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The spelling of 426228822624 in words is "four hundred twenty-six billion, two hundred twenty-eight million, eight hundred twenty-two thousand, six hundred twenty-four".