4113403140 has 384 divisors, whose sum is σ = 14861242368. Its totient is φ = 825477120.

The previous prime is 4113403139. The next prime is 4113403163. The reversal of 4113403140 is 413043114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26199942 + ... + 26200098.

It is an arithmetic number, because the mean of its divisors is an integer number (38701152).

Almost surely, 2^4113403140 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 4113403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430621184).

4113403140 is an abundant number, since it is smaller than the sum of its proper divisors (10747839228).

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

4113403140 is a wasteful number, since it uses less digits than its factorization.

4113403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4113403140 is about 64135.8179179154. The cubic root of 4113403140 is about 1602.2628320898.

Adding to 4113403140 its reverse (413043114), we get a palindrome (4526446254).

It can be divided in two parts, 4113 and 403140, that added together give a triangular number (407253 = T₉₀₂).

The spelling of 4113403140 in words is "four billion, one hundred thirteen million, four hundred three thousand, one hundred forty".