426004400624 has 80 divisors (see below), whose sum is σ = 909106572384. Its totient is φ = 191772672000.

The previous prime is 426004400573. The next prime is 426004400629.

426004400624 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426004400629) 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, 27298424 + ... + 27314024.

Almost surely, 2^426004400624 is an apocalyptic number.

426004400624 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 426004400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454553286192).

426004400624 is an abundant number, since it is smaller than the sum of its proper divisors (483102171760).

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

426004400624 is a wasteful number, since it uses less digits than its factorization.

426004400624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106 (or 17100 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 426004 and 400624, that added together give a palindrome (826628).

The spelling of 426004400624 in words is "four hundred twenty-six billion, four million, four hundred thousand, six hundred twenty-four".