4014080 has 90 divisors (see below), whose sum is σ = 11206314. Its totient is φ = 1376256.

The previous prime is 4014071. The next prime is 4014113. The reversal of 4014080 is 804104.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 802816 = 1792^2 + 896^2 .

It is a super-2 number, since 2×4014080² = 32225676492800, which contains 22 as substring.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 573437 + ... + 573443.

Almost surely, 2^4014080 is an apocalyptic number.

4014080 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 4014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603157).

4014080 is an abundant number, since it is smaller than the sum of its proper divisors (7192234).

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

4014080 is an frugal number, since it uses more digits than its factorization.

4014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4014080 is about 2003.5169078398. The cubic root of 4014080 is about 158.9261421407.

Adding to 4014080 its reverse (804104), we get a palindrome (4818184).

The spelling of 4014080 in words is "four million, fourteen thousand, eighty".