42035420 has 48 divisors (see below), whose sum is σ = 101434368. Its totient is φ = 14333760.

The previous prime is 42035417. The next prime is 42035431. The reversal of 42035420 is 2453024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42035392 and 42035401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28829 + ... + 30251.

It is an arithmetic number, because the mean of its divisors is an integer number (2113216).

Almost surely, 2^42035420 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 42035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50717184).

42035420 is an abundant number, since it is smaller than the sum of its proper divisors (59398948).

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

42035420 is a wasteful number, since it uses less digits than its factorization.

42035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42035420 is about 6483.4728348317. The cubic root of 42035420 is about 347.7003520040.

Adding to 42035420 its reverse (2453024), we get a palindrome (44488444).

The spelling of 42035420 in words is "forty-two million, thirty-five thousand, four hundred twenty".