42146056260 has 288 divisors, whose sum is σ = 168765472512. Its totient is φ = 8242421760.

The previous prime is 42146056229. The next prime is 42146056273. The reversal of 42146056260 is 6265064124.

42146056260 is a `hidden beast` number, since 4 + 21 + 4 + 6 + 0 + 5 + 626 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146184 + ... + 325056.

It is an arithmetic number, because the mean of its divisors is an integer number (585991224).

Almost surely, 2^42146056260 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 42146056260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84382736256).

42146056260 is an abundant number, since it is smaller than the sum of its proper divisors (126619416252).

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

42146056260 is a wasteful number, since it uses less digits than its factorization.

42146056260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178923 (or 178918 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42146056260 in words is "forty-two billion, one hundred forty-six million, fifty-six thousand, two hundred sixty".