4004014014 has 192 divisors, whose sum is σ = 11842242048. Its totient is φ = 944006400.

The previous prime is 4004014013. The next prime is 4004014019. The reversal of 4004014014 is 4104104004.

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

4004014014 is a modest number, since divided by 14014 gives 4004 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004014013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097277 + ... + 1100919.

It is an arithmetic number, because the mean of its divisors is an integer number (61678344).

Almost surely, 2^4004014014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004014014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921121024).

4004014014 is an abundant number, since it is smaller than the sum of its proper divisors (7838228034).

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

4004014014 is a wasteful number, since it uses less digits than its factorization.

4004014014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4004014014 is about 63277.2788131727. The cubic root of 4004014014 is about 1587.9318619551.

Adding to 4004014014 its reverse (4104104004), we get a palindrome (8108118018).

The spelling of 4004014014 in words is "four billion, four million, fourteen thousand, fourteen".