42305043040 has 96 divisors (see below), whose sum is σ = 107820266400. Its totient is φ = 15593263104.

The previous prime is 42305043029. The next prime is 42305043071. The reversal of 42305043040 is 4034050324.

42305043040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42305042996 and 42305043014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203636 + ... + 1238284.

It is an arithmetic number, because the mean of its divisors is an integer number (1123127775).

Almost surely, 2^42305043040 is an apocalyptic number.

42305043040 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 42305043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53910133200).

42305043040 is an abundant number, since it is smaller than the sum of its proper divisors (65515223360).

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

42305043040 is a wasteful number, since it uses less digits than its factorization.

42305043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35264 (or 35256 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 42305043040 its reverse (4034050324), we get a palindrome (46339093364).

The spelling of 42305043040 in words is "forty-two billion, three hundred five million, forty-three thousand, forty".