42135440 has 80 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 16214016.

The previous prime is 42135439. The next prime is 42135449. The reversal of 42135440 is 4453124.

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

It is not an unprimeable number, because it can be changed into a prime (42135449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372824 + ... + 372936.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^42135440 is an apocalyptic number.

42135440 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 42135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

42135440 is an abundant number, since it is smaller than the sum of its proper divisors (59643760).

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

42135440 is a wasteful number, since it uses less digits than its factorization.

42135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42135440 is about 6491.1817105978. The cubic root of 42135440 is about 347.9759088444.

Adding to 42135440 its reverse (4453124), we get a palindrome (46588564).

The spelling of 42135440 in words is "forty-two million, one hundred thirty-five thousand, four hundred forty".