4114003104 has 144 divisors (see below), whose sum is σ = 12224950920. Its totient is φ = 1310668800.

The previous prime is 4114003081. The next prime is 4114003141. The reversal of 4114003104 is 4013004114.

4114003104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3946352400 + 167650704 = 62820^2 + 12948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841114 + ... + 845990.

Almost surely, 2^4114003104 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 4114003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112475460).

4114003104 is an abundant number, since it is smaller than the sum of its proper divisors (8110947816).

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

4114003104 is a wasteful number, since it uses less digits than its factorization.

4114003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5012 counting only the distinct ones).

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

The square root of 4114003104 is about 64140.4950401850. The cubic root of 4114003104 is about 1602.3407281167.

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

The spelling of 4114003104 in words is "four billion, one hundred fourteen million, three thousand, one hundred four".