42107040 has 252 divisors, whose sum is σ = 157411674. Its totient is φ = 10637568.

The previous prime is 42107029. The next prime is 42107111. The reversal of 42107040 is 4070124.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 37896336 + 4210704 = 6156^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2216151 + ... + 2216169.

Almost surely, 2^42107040 is an apocalyptic number.

42107040 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 42107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78705837).

42107040 is an abundant number, since it is smaller than the sum of its proper divisors (115304634).

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

42107040 is an equidigital number, since it uses as much as digits as its factorization.

42107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42107040 is about 6488.9937586655. The cubic root of 42107040 is about 347.8977107214.

Adding to 42107040 its reverse (4070124), we get a palindrome (46177164).

The spelling of 42107040 in words is "forty-two million, one hundred seven thousand, forty".