426859200000 has 960 divisors, whose sum is σ = 1624547897280. Its totient is φ = 110592000000.

The previous prime is 426859199999. The next prime is 426859200049. The reversal of 426859200000 is 2958624.

It is a happy number.

426859200000 is a `hidden beast` number, since 4 + 2 + 68 + 592 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×426859200000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1771199880 + ... + 1771200120.

It is an arithmetic number, because the mean of its divisors is an integer number (1692237393).

Almost surely, 2^426859200000 is an apocalyptic number.

426859200000 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 426859200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812273948640).

426859200000 is an abundant number, since it is smaller than the sum of its proper divisors (1197688697280).

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

426859200000 is an frugal number, since it uses more digits than its factorization.

426859200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 426859200000 in words is "four hundred twenty-six billion, eight hundred fifty-nine million, two hundred thousand".