426264462624 has 768 divisors, whose sum is σ = 1559552569344. Its totient is φ = 98371584000.

The previous prime is 426264462581. The next prime is 426264462641.

426264462624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×426264462624² (a number of 24 digits) contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 359110159 + ... + 359111345.

It is an arithmetic number, because the mean of its divisors is an integer number (2030667408).

Almost surely, 2^426264462624 is an apocalyptic number.

426264462624 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 426264462624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779776284672).

426264462624 is an abundant number, since it is smaller than the sum of its proper divisors (1133288106720).

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

426264462624 is a wasteful number, since it uses less digits than its factorization.

426264462624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1361 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

It can be divided in two parts, 426264 and 462624, that added together give a palindrome (888888).

The spelling of 426264462624 in words is "four hundred twenty-six billion, two hundred sixty-four million, four hundred sixty-two thousand, six hundred twenty-four".