10422433824768 has 900 divisors, whose sum is σ = 37613648232160. Its totient is φ = 2821109907456.

The previous prime is 10422433824757. The next prime is 10422433824773. The reversal of 10422433824768 is 86742833422401.

10422433824768 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 4 + 338 + 247 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548549148663 + ... + 548549148681.

Almost surely, 2^{10422433824768} is an apocalyptic number.

10422433824768 is a gapful number since it is divisible by the number (18) 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 10422433824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806824116080).

10422433824768 is an abundant number, since it is smaller than the sum of its proper divisors (27191214407392).

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

10422433824768 is an frugal number, since it uses more digits than its factorization.

10422433824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 10422433824768 in words is "ten trillion, four hundred twenty-two billion, four hundred thirty-three million, eight hundred twenty-four thousand, seven hundred sixty-eight".