42142116 has 48 divisors (see below), whose sum is σ = 104823936. Its totient is φ = 13131264.

The previous prime is 42142091. The next prime is 42142151. The reversal of 42142116 is 61124124.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42142092 and 42142101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33450 + ... + 34686.

It is an arithmetic number, because the mean of its divisors is an integer number (2183832).

Almost surely, 2^42142116 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 42142116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52411968).

42142116 is an abundant number, since it is smaller than the sum of its proper divisors (62681820).

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

42142116 is a wasteful number, since it uses less digits than its factorization.

42142116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1426 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 42142116 is about 6491.6959263354. The cubic root of 42142116 is about 347.9942858092.

The spelling of 42142116 in words is "forty-two million, one hundred forty-two thousand, one hundred sixteen".