426742600320 has 192 divisors, whose sum is σ = 1524409777800. Its totient is φ = 109873913856.

The previous prime is 426742600303. The next prime is 426742600327. The reversal of 426742600320 is 23006247624.

426742600320 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 42 + 600 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 296571733056 + 130170867264 = 544584^2 + 360792^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (426742600327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110327 + ... + 1444406.

Almost surely, 2^426742600320 is an apocalyptic number.

426742600320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426742600320 is an abundant number, since it is smaller than the sum of its proper divisors (1097667177480).

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

426742600320 is a wasteful number, since it uses less digits than its factorization.

426742600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554787 (or 2554772 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 426742600320 its reverse (23006247624), we get a palindrome (449748847944).

The spelling of 426742600320 in words is "four hundred twenty-six billion, seven hundred forty-two million, six hundred thousand, three hundred twenty".