426828027648000 has 384 divisors, whose sum is σ = 1549240261470720. Its totient is φ = 103473459200000.

The previous prime is 426828027647947. The next prime is 426828027648007. The reversal of 426828027648000 is 846720828624.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426828027648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16814076 + ... + 33710075.

It is an arithmetic number, because the mean of its divisors is an integer number (4034479847580).

Almost surely, 2^{426828027648000} is an apocalyptic number.

426828027648000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426828027648000 is an abundant number, since it is smaller than the sum of its proper divisors (1122412233822720).

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

426828027648000 is a wasteful number, since it uses less digits than its factorization.

426828027648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50524202 (or 50524172 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 426828027648000 in words is "four hundred twenty-six trillion, eight hundred twenty-eight billion, twenty-seven million, six hundred forty-eight thousand".