42015020 has 48 divisors (see below), whose sum is σ = 92836800. Its totient is φ = 15941376.

The previous prime is 42015019. The next prime is 42015047. The reversal of 42015020 is 2051024.

It is a junction number, because it is equal to n+sod(n) for n = 42014986 and 42015004.

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, 68234 + ... + 68846.

It is an arithmetic number, because the mean of its divisors is an integer number (1934100).

Almost surely, 2^42015020 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 42015020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46418400).

42015020 is an abundant number, since it is smaller than the sum of its proper divisors (50821780).

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

42015020 is a wasteful number, since it uses less digits than its factorization.

42015020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42015020 is about 6481.8994129807. The cubic root of 42015020 is about 347.6440959947.

Adding to 42015020 its reverse (2051024), we get a palindrome (44066044).

The spelling of 42015020 in words is "forty-two million, fifteen thousand, twenty".