426414414624 has 96 divisors (see below), whose sum is σ = 1221741916416. Its totient is φ = 129148120320.

The previous prime is 426414414589. The next prime is 426414414697.

426414414624 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 super-2 number, since 2×426414414624² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1907919 + ... + 2119665.

It is an arithmetic number, because the mean of its divisors is an integer number (12726478296).

Almost surely, 2^426414414624 is an apocalyptic number.

426414414624 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 426414414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610870958208).

426414414624 is an abundant number, since it is smaller than the sum of its proper divisors (795327501792).

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

426414414624 is a wasteful number, since it uses less digits than its factorization.

426414414624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213678 (or 213670 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 426414414624 in words is "four hundred twenty-six billion, four hundred fourteen million, four hundred fourteen thousand, six hundred twenty-four".