42416192 has 56 divisors (see below), whose sum is σ = 103607616. Its totient is φ = 16777728.

The previous prime is 42416177. The next prime is 42416197. The reversal of 42416192 is 29161424.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (42416197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2183 + ... + 9465.

It is an arithmetic number, because the mean of its divisors is an integer number (1850136).

Almost surely, 2^42416192 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 42416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51803808).

42416192 is an abundant number, since it is smaller than the sum of its proper divisors (61191424).

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

42416192 is a wasteful number, since it uses less digits than its factorization.

42416192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7305 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 42416192 is about 6512.7714530759. The cubic root of 42416192 is about 348.7470629198.

The spelling of 42416192 in words is "forty-two million, four hundred sixteen thousand, one hundred ninety-two".