4114103040 has 216 divisors, whose sum is σ = 14478019920. Its totient is φ = 1078321152.

The previous prime is 4114103039. The next prime is 4114103069. The reversal of 4114103040 is 403014114.

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, 676654 + ... + 682706.

It is an arithmetic number, because the mean of its divisors is an integer number (67027870).

Almost surely, 2^4114103040 is an apocalyptic number.

4114103040 is a gapful number since it is divisible by the number (40) 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 4114103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239009960).

4114103040 is an abundant number, since it is smaller than the sum of its proper divisors (10363916880).

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

4114103040 is a wasteful number, since it uses less digits than its factorization.

4114103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6122 counting only the distinct ones).

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

The square root of 4114103040 is about 64141.2740752785. The cubic root of 4114103040 is about 1602.3537025216.

Adding to 4114103040 its reverse (403014114), we get a palindrome (4517117154).

The spelling of 4114103040 in words is "four billion, one hundred fourteen million, one hundred three thousand, forty".