42517040 has 40 divisors (see below), whose sum is σ = 99889440. Its totient is φ = 16828416.

The previous prime is 42517039. The next prime is 42517043. The reversal of 42517040 is 4071524.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42516997 and 42517015.

It is not an unprimeable number, because it can be changed into a prime (42517043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5021 + ... + 10499.

It is an arithmetic number, because the mean of its divisors is an integer number (2497236).

Almost surely, 2^42517040 is an apocalyptic number.

42517040 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 42517040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49944720).

42517040 is an abundant number, since it is smaller than the sum of its proper divisors (57372400).

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

42517040 is a wasteful number, since it uses less digits than its factorization.

42517040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 42517040 is about 6520.5091825716. The cubic root of 42517040 is about 349.0232358101.

Adding to 42517040 its reverse (4071524), we get a palindrome (46588564).

The spelling of 42517040 in words is "forty-two million, five hundred seventeen thousand, forty".