42351540 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 8616960.

The previous prime is 42351521. The next prime is 42351553. The reversal of 42351540 is 4515324.

42351540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42351540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411129 + ... + 411231.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^42351540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42351540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

42351540 is an abundant number, since it is smaller than the sum of its proper divisors (108606540).

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

42351540 is a wasteful number, since it uses less digits than its factorization.

42351540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42351540 is about 6507.8060819296. The cubic root of 42351540 is about 348.5697826607.

Adding to 42351540 its reverse (4515324), we get a palindrome (46866864).

It can be divided in two parts, 4235 and 1540, that added together give a palindrome (5775).

The spelling of 42351540 in words is "forty-two million, three hundred fifty-one thousand, five hundred forty".