42282918720 has 672 divisors, whose sum is σ = 177566238720. Its totient is φ = 9026519040.

The previous prime is 42282918709. The next prime is 42282918761. The reversal of 42282918720 is 2781928224.

It is a happy number.

42282918720 is a `hidden beast` number, since 422 + 8 + 29 + 187 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 18122674 + ... + 18125006.

Almost surely, 2^42282918720 is an apocalyptic number.

42282918720 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 42282918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88783119360).

42282918720 is an abundant number, since it is smaller than the sum of its proper divisors (135283320000).

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

42282918720 is a wasteful number, since it uses less digits than its factorization.

42282918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 42282918720 in words is "forty-two billion, two hundred eighty-two million, nine hundred eighteen thousand, seven hundred twenty".