42125440 has 64 divisors (see below), whose sum is σ = 115104960. Its totient is φ = 14441472.

The previous prime is 42125437. The next prime is 42125477. The reversal of 42125440 is 4452124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 9181.

It is an arithmetic number, because the mean of its divisors is an integer number (1798515).

Almost surely, 2^42125440 is an apocalyptic number.

42125440 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 42125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57552480).

42125440 is an abundant number, since it is smaller than the sum of its proper divisors (72979520).

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

42125440 is an equidigital number, since it uses as much as digits as its factorization.

42125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 42125440 is about 6490.4113891186. The cubic root of 42125440 is about 347.9483783032.

Adding to 42125440 its reverse (4452124), we get a palindrome (46577564).

The spelling of 42125440 in words is "forty-two million, one hundred twenty-five thousand, four hundred forty".