426287347200 has 1440 divisors, whose sum is σ = 1816028454240. Its totient is φ = 94135910400.

The previous prime is 426287347177. The next prime is 426287347217. The reversal of 426287347200 is 2743782624.

426287347200 is a `hidden beast` number, since 4 + 2 + 6 + 287 + 347 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1861516686 + ... + 1861516914.

It is an arithmetic number, because the mean of its divisors is an integer number (1261130871).

Almost surely, 2^426287347200 is an apocalyptic number.

426287347200 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 426287347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908014227120).

426287347200 is an abundant number, since it is smaller than the sum of its proper divisors (1389741107040).

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

426287347200 is a wasteful number, since it uses less digits than its factorization.

426287347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 426287347200 in words is "four hundred twenty-six billion, two hundred eighty-seven million, three hundred forty-seven thousand, two hundred".