426410014624 has 48 divisors (see below), whose sum is σ = 937110414240. Its totient is φ = 189315221760.

The previous prime is 426410014609. The next prime is 426410014637.

426410014624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×426410014624² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426410014624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14070819 + ... + 14101090.

It is an arithmetic number, because the mean of its divisors is an integer number (19523133630).

Almost surely, 2^426410014624 is an apocalyptic number.

426410014624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

426410014624 is an abundant number, since it is smaller than the sum of its proper divisors (510700399616).

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

426410014624 is a wasteful number, since it uses less digits than its factorization.

426410014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28171973 (or 28171965 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 4264100 and 14624, that added together give a palindrome (4278724).

The spelling of 426410014624 in words is "four hundred twenty-six billion, four hundred ten million, fourteen thousand, six hundred twenty-four".