4014144240 has 40 divisors (see below), whose sum is σ = 12443847888. Its totient is φ = 1070438400.

The previous prime is 4014144209. The next prime is 4014144247. The reversal of 4014144240 is 424414104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4014144240² = 32226707959050355200, 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 4014144240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014144247) 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 7 ways as a sum of consecutive naturals, for example, 8362561 + ... + 8363040.

Almost surely, 2^4014144240 is an apocalyptic number.

4014144240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014144240 is an abundant number, since it is smaller than the sum of its proper divisors (8429703648).

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

4014144240 is a wasteful number, since it uses less digits than its factorization.

4014144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16725617 (or 16725611 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4014144240 is about 63357.2745625946. The cubic root of 4014144240 is about 1589.2698993652.

Adding to 4014144240 its reverse (424414104), we get a palindrome (4438558344).

The spelling of 4014144240 in words is "four billion, fourteen million, one hundred forty-four thousand, two hundred forty".