42015792 has 80 divisors (see below), whose sum is σ = 133602560. Its totient is φ = 11079936.

The previous prime is 42015781. The next prime is 42015793. The reversal of 42015792 is 29751024.

It is not an unprimeable number, because it can be changed into a prime (42015793) 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, 442 + ... + 9177.

It is an arithmetic number, because the mean of its divisors is an integer number (1670032).

Almost surely, 2^42015792 is an apocalyptic number.

42015792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42015792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66801280).

42015792 is an abundant number, since it is smaller than the sum of its proper divisors (91586768).

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

42015792 is a wasteful number, since it uses less digits than its factorization.

42015792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 42015792 is about 6481.9589631530. The cubic root of 42015792 is about 347.6462252301.

The spelling of 42015792 in words is "forty-two million, fifteen thousand, seven hundred ninety-two".