426113311624 has 128 divisors (see below), whose sum is σ = 1073198810880. Its totient is φ = 153180979200.

The previous prime is 426113311609. The next prime is 426113311651.

426113311624 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 426113311624.

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 31 ways as a sum of consecutive naturals, for example, 20754484 + ... + 20775004.

It is an arithmetic number, because the mean of its divisors is an integer number (8384365710).

Almost surely, 2^426113311624 is an apocalyptic number.

426113311624 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 426113311624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536599405440).

426113311624 is an abundant number, since it is smaller than the sum of its proper divisors (647085499256).

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

426113311624 is a wasteful number, since it uses less digits than its factorization.

426113311624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23151 (or 23147 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 426113 and 311624, that added together give a palindrome (737737).

The spelling of 426113311624 in words is "four hundred twenty-six billion, one hundred thirteen million, three hundred eleven thousand, six hundred twenty-four".