4014884104 has 64 divisors (see below), whose sum is σ = 9394070400. Its totient is φ = 1562803200.

The previous prime is 4014884089. The next prime is 4014884113.

4014884104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014884104² = 32238588737103765632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014884104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877984 + ... + 882544.

It is an arithmetic number, because the mean of its divisors is an integer number (146782350).

Almost surely, 2^4014884104 is an apocalyptic number.

4014884104 is a gapful number since it is divisible by the number (44) 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 4014884104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697035200).

4014884104 is an abundant number, since it is smaller than the sum of its proper divisors (5379186296).

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

4014884104 is a wasteful number, since it uses less digits than its factorization.

4014884104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 4014884104 is about 63363.1131179648. The cubic root of 4014884104 is about 1589.3675350654.

The spelling of 4014884104 in words is "four billion, fourteen million, eight hundred eighty-four thousand, one hundred four".