42035360 has 48 divisors (see below), whose sum is σ = 101202696. Its totient is φ = 16493568.

The previous prime is 42035359. The next prime is 42035369. The reversal of 42035360 is 6353024.

It can be written as a sum of positive squares in 4 ways, for example, as 41011216 + 1024144 = 6404^2 + 1012^2 .

It is not an unprimeable number, because it can be changed into a prime (42035369) 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, 6002 + ... + 10958.

Almost surely, 2^42035360 is an apocalyptic number.

42035360 is a gapful number since it is divisible by the number (40) 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 42035360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50601348).

42035360 is an abundant number, since it is smaller than the sum of its proper divisors (59167336).

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

42035360 is a wasteful number, since it uses less digits than its factorization.

42035360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 42035360 is about 6483.4682076802. The cubic root of 42035360 is about 347.7001865718.

Adding to 42035360 its reverse (6353024), we get a palindrome (48388384).

The spelling of 42035360 in words is "forty-two million, thirty-five thousand, three hundred sixty".