42141372 has 144 divisors (see below), whose sum is σ = 127360800. Its totient is φ = 10741248.

The previous prime is 42141353. The next prime is 42141377. The reversal of 42141372 is 27314124.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282754 + ... + 282902.

It is an arithmetic number, because the mean of its divisors is an integer number (884450).

Almost surely, 2^42141372 is an apocalyptic number.

42141372 is a gapful number since it is divisible by the number (42) 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 42141372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63680400).

42141372 is an abundant number, since it is smaller than the sum of its proper divisors (85219428).

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

42141372 is a wasteful number, since it uses less digits than its factorization.

42141372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 42141372 is about 6491.6386221046. The cubic root of 42141372 is about 347.9922379032.

Adding to 42141372 its reverse (27314124), we get a palindrome (69455496).

The spelling of 42141372 in words is "forty-two million, one hundred forty-one thousand, three hundred seventy-two".