426947875200 has 1152 divisors, whose sum is σ = 1999527379200. Its totient is φ = 84038860800.

The previous prime is 426947875183. The next prime is 426947875259. The reversal of 426947875200 is 2578749624.

426947875200 is a `hidden beast` number, since 4 + 26 + 94 + 7 + 8 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42129334 + ... + 42139466.

It is an arithmetic number, because the mean of its divisors is an integer number (1735700850).

Almost surely, 2^426947875200 is an apocalyptic number.

426947875200 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 426947875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999763689600).

426947875200 is an abundant number, since it is smaller than the sum of its proper divisors (1572579504000).

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

426947875200 is a wasteful number, since it uses less digits than its factorization.

426947875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 426947875200 in words is "four hundred twenty-six billion, nine hundred forty-seven million, eight hundred seventy-five thousand, two hundred".