42517440 has 448 divisors, whose sum is σ = 185318400. Its totient is φ = 8957952.

The previous prime is 42517429. The next prime is 42517471. The reversal of 42517440 is 4471524.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149102 + ... + 1149138.

Almost surely, 2^42517440 is an apocalyptic number.

42517440 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 42517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92659200).

42517440 is an abundant number, since it is smaller than the sum of its proper divisors (142800960).

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

42517440 is a wasteful number, since it uses less digits than its factorization.

42517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 42517440 is about 6520.5398549507. The cubic root of 42517440 is about 349.0243303427.

Adding to 42517440 its reverse (4471524), we get a palindrome (46988964).

The spelling of 42517440 in words is "forty-two million, five hundred seventeen thousand, four hundred forty".