4016110560 has 864 divisors, whose sum is σ = 17337462912. Its totient is φ = 772208640.

The previous prime is 4016110547. The next prime is 4016110561. The reversal of 4016110560 is 650116104.

It is a super-2 number, since 2×4016110560² = 32258288060287027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4016110560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016110561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93397899 + ... + 93397941.

It is an arithmetic number, because the mean of its divisors is an integer number (20066508).

Almost surely, 2^4016110560 is an apocalyptic number.

4016110560 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 4016110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668731456).

4016110560 is an abundant number, since it is smaller than the sum of its proper divisors (13321352352).

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

4016110560 is a wasteful number, since it uses less digits than its factorization.

4016110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4016110560 is about 63372.7903756809. The cubic root of 4016110560 is about 1589.5293571624.

Adding to 4016110560 its reverse (650116104), we get a palindrome (4666226664).

It can be divided in two parts, 40161 and 10560, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 4016110560 in words is "four billion, sixteen million, one hundred ten thousand, five hundred sixty".