42291293184 has 1056 divisors, whose sum is σ = 161297049600. Its totient is φ = 10868981760.

The previous prime is 42291293183. The next prime is 42291293251. The reversal of 42291293184 is 48139219224.

42291293184 is a `hidden beast` number, since 42 + 291 + 2 + 9 + 318 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42291293183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797948902 + ... + 797948954.

Almost surely, 2^42291293184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42291293184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80648524800).

42291293184 is an abundant number, since it is smaller than the sum of its proper divisors (119005756416).

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

42291293184 is a wasteful number, since it uses less digits than its factorization.

42291293184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 42291293184 in words is "forty-two billion, two hundred ninety-one million, two hundred ninety-three thousand, one hundred eighty-four".