42173128704 has 224 divisors, whose sum is σ = 131168851200. Its totient is φ = 12047056896.

The previous prime is 42173128703. The next prime is 42173128721. The reversal of 42173128704 is 40782137124.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42173128703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8427067 + ... + 8432069.

Almost surely, 2^42173128704 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 42173128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65584425600).

42173128704 is an abundant number, since it is smaller than the sum of its proper divisors (88995722496).

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

42173128704 is an frugal number, since it uses more digits than its factorization.

42173128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 42173128704 in words is "forty-two billion, one hundred seventy-three million, one hundred twenty-eight thousand, seven hundred four".