426687231432000 has 1792 divisors, whose sum is σ = 1866269554606080. Its totient is φ = 83290927104000.

The previous prime is 426687231431947. The next prime is 426687231432017. The reversal of 426687231432000 is 234132786624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1982796409 + ... + 1983011591.

Almost surely, 2^{426687231432000} is an apocalyptic number.

426687231432000 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 426687231432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933134777303040).

426687231432000 is an abundant number, since it is smaller than the sum of its proper divisors (1439582323174080).

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

426687231432000 is a wasteful number, since it uses less digits than its factorization.

426687231432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215297 (or 215277 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 426687231432000 in words is "four hundred twenty-six trillion, six hundred eighty-seven billion, two hundred thirty-one million, four hundred thirty-two thousand".