4014180352 has 288 divisors, whose sum is σ = 10705345560. Its totient is φ = 1486356480.

The previous prime is 4014180349. The next prime is 4014180353. The reversal of 4014180352 is 2530814104.

It can be written as a sum of positive squares in 4 ways, for example, as 2027160576 + 1987019776 = 45024^2 + 44576^2 .

It is a super-2 number, since 2×4014180352² = 32227287796765687808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4014180352.

It is not an unprimeable number, because it can be changed into a prime (4014180353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22177702 + ... + 22177882.

Almost surely, 2^4014180352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352672780).

4014180352 is an abundant number, since it is smaller than the sum of its proper divisors (6691165208).

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

4014180352 is a wasteful number, since it uses less digits than its factorization.

4014180352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4014180352 is about 63357.5595489599. The cubic root of 4014180352 is about 1589.2746651416.

Adding to 4014180352 its reverse (2530814104), we get a palindrome (6544994456).

The spelling of 4014180352 in words is "four billion, fourteen million, one hundred eighty thousand, three hundred fifty-two".