42171292224 has 336 divisors, whose sum is σ = 132928766400. Its totient is φ = 13105483776.

The previous prime is 42171292217. The next prime is 42171292279. The reversal of 42171292224 is 42229217124.

42171292224 is a `hidden beast` number, since 421 + 7 + 1 + 2 + 9 + 2 + 224 = 666.

It is a super-3 number, since 3×42171292224³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41794632 + ... + 41795640.

Almost surely, 2^42171292224 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 42171292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66464383200).

42171292224 is an abundant number, since it is smaller than the sum of its proper divisors (90757474176).

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

42171292224 is a wasteful number, since it uses less digits than its factorization.

42171292224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1100 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 42171292224 in words is "forty-two billion, one hundred seventy-one million, two hundred ninety-two thousand, two hundred twenty-four".