4100813514 has 128 divisors (see below), whose sum is σ = 10585935360. Its totient is φ = 1152576000.

The previous prime is 4100813513. The next prime is 4100813557. The reversal of 4100813514 is 4153180014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4100813513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8895244 + ... + 8895704.

It is an arithmetic number, because the mean of its divisors is an integer number (82702620).

Almost surely, 2^4100813514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100813514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292967680).

4100813514 is an abundant number, since it is smaller than the sum of its proper divisors (6485121846).

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

4100813514 is a wasteful number, since it uses less digits than its factorization.

4100813514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4100813514 is about 64037.5945363347. The cubic root of 4100813514 is about 1600.6265142783.

Adding to 4100813514 its reverse (4153180014), we get a palindrome (8253993528).

It can be divided in two parts, 410081 and 3514, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 4100813514 in words is "four billion, one hundred million, eight hundred thirteen thousand, five hundred fourteen".