42111144 has 128 divisors (see below), whose sum is σ = 127488000. Its totient is φ = 12830400.

The previous prime is 42111131. The next prime is 42111211. The reversal of 42111144 is 44111124.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127059 + ... + 127389.

It is an arithmetic number, because the mean of its divisors is an integer number (996000).

Almost surely, 2^42111144 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 42111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63744000).

42111144 is an abundant number, since it is smaller than the sum of its proper divisors (85376856).

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

42111144 is a wasteful number, since it uses less digits than its factorization.

42111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 42111144 is about 6489.3099787266. The cubic root of 42111144 is about 347.9090130738.

Adding to 42111144 its reverse (44111124), we get a palindrome (86222268).

The spelling of 42111144 in words is "forty-two million, one hundred eleven thousand, one hundred forty-four".