42353040 has 80 divisors (see below), whose sum is σ = 132580800. Its totient is φ = 11183616.

The previous prime is 42353039. The next prime is 42353057. The reversal of 42353040 is 4035324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42352998 and 42353016.

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, 25351 + ... + 26969.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^42353040 is an apocalyptic number.

42353040 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 42353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290400).

42353040 is an abundant number, since it is smaller than the sum of its proper divisors (90227760).

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

42353040 is a wasteful number, since it uses less digits than its factorization.

42353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42353040 is about 6507.9213271213. The cubic root of 42353040 is about 348.5738978082.

Adding to 42353040 its reverse (4035324), we get a palindrome (46388364).

The spelling of 42353040 in words is "forty-two million, three hundred fifty-three thousand, forty".