426198801600 has 2520 divisors, whose sum is σ = 1945790439120. Its totient is φ = 90574848000.

The previous prime is 426198801557. The next prime is 426198801659. The reversal of 426198801600 is 6108891624.

426198801600 is a `hidden beast` number, since 4 + 26 + 19 + 8 + 8 + 0 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6986865570 + ... + 6986865630.

Almost surely, 2^426198801600 is an apocalyptic number.

426198801600 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 426198801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972895219560).

426198801600 is an abundant number, since it is smaller than the sum of its proper divisors (1519591637520).

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

426198801600 is a wasteful number, since it uses less digits than its factorization.

426198801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 426198801600 in words is "four hundred twenty-six billion, one hundred ninety-eight million, eight hundred one thousand, six hundred".