42665871700 has 72 divisors (see below), whose sum is σ = 96691936320. Its totient is φ = 16310553600.

The previous prime is 42665871649. The next prime is 42665871707. The reversal of 42665871700 is 717856624.

It is a happy number.

42665871700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42665871707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2962116 + ... + 2976484.

It is an arithmetic number, because the mean of its divisors is an integer number (1342943560).

Almost surely, 2^42665871700 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 42665871700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48345968160).

42665871700 is an abundant number, since it is smaller than the sum of its proper divisors (54026064620).

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

42665871700 is a wasteful number, since it uses less digits than its factorization.

42665871700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15697 (or 15690 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 42665871700 in words is "forty-two billion, six hundred sixty-five million, eight hundred seventy-one thousand, seven hundred".