42565673310 has 64 divisors (see below), whose sum is σ = 104918146560. Its totient is φ = 11047932800.

The previous prime is 42565673263. The next prime is 42565673323. The reversal of 42565673310 is 1337656524.

42565673310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42565673310² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59719 + ... + 297821.

It is an arithmetic number, because the mean of its divisors is an integer number (1639346040).

Almost surely, 2^42565673310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42565673310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52459073280).

42565673310 is an abundant number, since it is smaller than the sum of its proper divisors (62352473250).

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

42565673310 is a wasteful number, since it uses less digits than its factorization.

42565673310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238273.

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 42565673310 in words is "forty-two billion, five hundred sixty-five million, six hundred seventy-three thousand, three hundred ten".