42181152 has 96 divisors (see below), whose sum is σ = 121137408. Its totient is φ = 12773376.

The previous prime is 42181141. The next prime is 42181157. The reversal of 42181152 is 25118124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42181157) 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, 90873 + ... + 91335.

It is an arithmetic number, because the mean of its divisors is an integer number (1261848).

Almost surely, 2^42181152 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 42181152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60568704).

42181152 is an abundant number, since it is smaller than the sum of its proper divisors (78956256).

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

42181152 is a wasteful number, since it uses less digits than its factorization.

42181152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 42181152 is about 6494.7018407314. The cubic root of 42181152 is about 348.1017010194.

Adding to 42181152 its reverse (25118124), we get a palindrome (67299276).

The spelling of 42181152 in words is "forty-two million, one hundred eighty-one thousand, one hundred fifty-two".