4014432240 has 320 divisors, whose sum is σ = 15388348416. Its totient is φ = 843042816.

The previous prime is 4014432239. The next prime is 4014432287. The reversal of 4014432240 is 422344104.

It is a happy number.

It is a super-2 number, since 2×4014432240² = 32231332419102835200, 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 4014432240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8670249 + ... + 8670711.

Almost surely, 2^4014432240 is an apocalyptic number.

4014432240 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 4014432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694174208).

4014432240 is an abundant number, since it is smaller than the sum of its proper divisors (11373916176).

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

4014432240 is a wasteful number, since it uses less digits than its factorization.

4014432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4014432240 is about 63359.5473468679. The cubic root of 4014432240 is about 1589.3079065350.

Adding to 4014432240 its reverse (422344104), we get a palindrome (4436776344).

The spelling of 4014432240 in words is "four billion, fourteen million, four hundred thirty-two thousand, two hundred forty".