426304512000 has 896 divisors, whose sum is σ = 1670845812480. Its totient is φ = 106876108800.

The previous prime is 426304511999. The next prime is 426304512059. The reversal of 426304512000 is 215403624.

426304512000 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 0 + 451 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470015547 + ... + 470016453.

Almost surely, 2^426304512000 is an apocalyptic number.

426304512000 is a gapful number since it is divisible by the number (40) 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 426304512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835422906240).

426304512000 is an abundant number, since it is smaller than the sum of its proper divisors (1244541300480).

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

426304512000 is an equidigital number, since it uses as much as digits as its factorization.

426304512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 426304512000 its reverse (215403624), we get a palindrome (426519915624).

The spelling of 426304512000 in words is "four hundred twenty-six billion, three hundred four million, five hundred twelve thousand".