42618768192 has 1120 divisors, whose sum is σ = 174478639104. Its totient is φ = 9928396800.

The previous prime is 42618768187. The next prime is 42618768209. The reversal of 42618768192 is 29186781624.

It is a happy number.

42618768192 is a `hidden beast` number, since 4 + 2 + 618 + 7 + 6 + 8 + 19 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 223134817 + ... + 223135007.

Almost surely, 2^42618768192 is an apocalyptic number.

42618768192 is a gapful number since it is divisible by the number (42) 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 42618768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87239319552).

42618768192 is an abundant number, since it is smaller than the sum of its proper divisors (131859870912).

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

42618768192 is a wasteful number, since it uses less digits than its factorization.

42618768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 42618768192 in words is "forty-two billion, six hundred eighteen million, seven hundred sixty-eight thousand, one hundred ninety-two".