42705384400 has 240 divisors, whose sum is σ = 120449433600. Its totient is φ = 14246899200.

The previous prime is 42705384289. The next prime is 42705384401. The reversal of 42705384400 is 448350724.

42705384400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42705384400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705384401) 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, 25134751 + ... + 25136449.

It is an arithmetic number, because the mean of its divisors is an integer number (501872640).

Almost surely, 2^42705384400 is an apocalyptic number.

42705384400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42705384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60224716800).

42705384400 is an abundant number, since it is smaller than the sum of its proper divisors (77744049200).

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

42705384400 is a wasteful number, since it uses less digits than its factorization.

42705384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 42705384400 in words is "forty-two billion, seven hundred five million, three hundred eighty-four thousand, four hundred".