42045012 has 144 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 12063744.

The previous prime is 42045011. The next prime is 42045019. The reversal of 42045012 is 21054024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408153 + ... + 408255.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^42045012 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 42045012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

42045012 is an abundant number, since it is smaller than the sum of its proper divisors (80608428).

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

42045012 is a wasteful number, since it uses less digits than its factorization.

42045012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42045012 is about 6484.2125196511. The cubic root of 42045012 is about 347.7267970681.

Adding to 42045012 its reverse (21054024), we get a palindrome (63099036).

It can be divided in two parts, 4204 and 5012, that added together give a square (9216 = 96²).

The spelling of 42045012 in words is "forty-two million, forty-five thousand, twelve".