4013004114 has 128 divisors (see below), whose sum is σ = 10357977600. Its totient is φ = 1128038400.

The previous prime is 4013004103. The next prime is 4013004167. The reversal of 4013004114 is 4114003104.

It is a super-2 number, since 2×4013004114² = 32208404037961849992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9811542 + ... + 9811950.

It is an arithmetic number, because the mean of its divisors is an integer number (80921700).

Almost surely, 2^4013004114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013004114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178988800).

4013004114 is an abundant number, since it is smaller than the sum of its proper divisors (6344973486).

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

4013004114 is a wasteful number, since it uses less digits than its factorization.

4013004114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4013004114 is about 63348.2763301418. The cubic root of 4013004114 is about 1589.1194198440.

Adding to 4013004114 its reverse (4114003104), we get a palindrome (8127007218).

The spelling of 4013004114 in words is "four billion, thirteen million, four thousand, one hundred fourteen".