42516040 has 64 divisors (see below), whose sum is σ = 109900800. Its totient is φ = 14500608.

The previous prime is 42516037. The next prime is 42516043. The reversal of 42516040 is 4061524.

It is an interprime number because it is at equal distance from previous prime (42516037) and next prime (42516043).

It is a super-2 number, since 2×42516040² = 3615227314563200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42516043) by changing a digit.

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, 88521 + ... + 88999.

It is an arithmetic number, because the mean of its divisors is an integer number (1717200).

Almost surely, 2^42516040 is an apocalyptic number.

42516040 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 42516040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54950400).

42516040 is an abundant number, since it is smaller than the sum of its proper divisors (67384760).

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

42516040 is a wasteful number, since it uses less digits than its factorization.

42516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42516040 is about 6520.4325009926. The cubic root of 42516040 is about 349.0204994486.

Adding to 42516040 its reverse (4061524), we get a palindrome (46577564).

The spelling of 42516040 in words is "forty-two million, five hundred sixteen thousand, forty".