42082440 has 64 divisors (see below), whose sum is σ = 127258560. Its totient is φ = 11132160.

The previous prime is 42082303. The next prime is 42082471. The reversal of 42082440 is 4428024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42082440.

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, 14382 + ... + 17058.

It is an arithmetic number, because the mean of its divisors is an integer number (1988415).

Almost surely, 2^42082440 is an apocalyptic number.

42082440 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 42082440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63629280).

42082440 is an abundant number, since it is smaller than the sum of its proper divisors (85176120).

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

42082440 is a wasteful number, since it uses less digits than its factorization.

42082440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42082440 is about 6487.0979644214. The cubic root of 42082440 is about 347.8299473032.

The spelling of 42082440 in words is "forty-two million, eighty-two thousand, four hundred forty".