42570905850 has 288 divisors, whose sum is σ = 130920192000. Its totient is φ = 9816681600.

The previous prime is 42570905849. The next prime is 42570905869. The reversal of 42570905850 is 5850907524.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42570905796 and 42570905805.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22655211 + ... + 22657089.

It is an arithmetic number, because the mean of its divisors is an integer number (454584000).

Almost surely, 2^42570905850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42570905850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65460096000).

42570905850 is an abundant number, since it is smaller than the sum of its proper divisors (88349286150).

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

42570905850 is a wasteful number, since it uses less digits than its factorization.

42570905850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 42570905850 in words is "forty-two billion, five hundred seventy million, nine hundred five thousand, eight hundred fifty".