42709341024 has 288 divisors, whose sum is σ = 142287425280. Its totient is φ = 11899929600.

The previous prime is 42709341023. The next prime is 42709341029. The reversal of 42709341024 is 42014390724.

42709341024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42709341024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42709341023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15580294 + ... + 15583034.

It is an arithmetic number, because the mean of its divisors is an integer number (494053560).

Almost surely, 2^42709341024 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 42709341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71143712640).

42709341024 is an abundant number, since it is smaller than the sum of its proper divisors (99578084256).

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

42709341024 is a wasteful number, since it uses less digits than its factorization.

42709341024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42709341024 in words is "forty-two billion, seven hundred nine million, three hundred forty-one thousand, twenty-four".