42618240 has 288 divisors, whose sum is σ = 172326960. Its totient is φ = 9676800.

The previous prime is 42618239. The next prime is 42618271. The reversal of 42618240 is 4281624.

42618240 is a `hidden beast` number, since 4 + 2 + 618 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282165 + ... + 282315.

Almost surely, 2^42618240 is an apocalyptic number.

42618240 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 42618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86163480).

42618240 is an abundant number, since it is smaller than the sum of its proper divisors (129708720).

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

42618240 is a wasteful number, since it uses less digits than its factorization.

42618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42618240 is about 6528.2647005158. The cubic root of 42618240 is about 349.2999340029.

Adding to 42618240 its reverse (4281624), we get a palindrome (46899864).

The spelling of 42618240 in words is "forty-two million, six hundred eighteen thousand, two hundred forty".