42082182450 has 576 divisors, whose sum is σ = 148516208640. Its totient is φ = 8663760000.

The previous prime is 42082182437. The next prime is 42082182451. The reversal of 42082182450 is 5428128024.

42082182450 is a `hidden beast` number, since 4 + 20 + 8 + 2 + 182 + 450 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42082182451) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 109874959 + ... + 109875341.

It is an arithmetic number, because the mean of its divisors is an integer number (257840640).

Almost surely, 2^42082182450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42082182450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74258104320).

42082182450 is an abundant number, since it is smaller than the sum of its proper divisors (106434026190).

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

42082182450 is a wasteful number, since it uses less digits than its factorization.

42082182450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 42082182450 in words is "forty-two billion, eighty-two million, one hundred eighty-two thousand, four hundred fifty".