4013101340 has 96 divisors (see below), whose sum is σ = 9013939200. Its totient is φ = 1496482560.

The previous prime is 4013101319. The next prime is 4013101399. The reversal of 4013101340 is 431013104.

4013101340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013101340² = 32209964730219591200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9310925 + ... + 9311355.

It is an arithmetic number, because the mean of its divisors is an integer number (93895200).

Almost surely, 2^4013101340 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 4013101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506969600).

4013101340 is an abundant number, since it is smaller than the sum of its proper divisors (5000837860).

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

4013101340 is a wasteful number, since it uses less digits than its factorization.

4013101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4013101340 is about 63349.0437181178. The cubic root of 4013101340 is about 1589.1322533284.

Adding to 4013101340 its reverse (431013104), we get a palindrome (4444114444).

The spelling of 4013101340 in words is "four billion, thirteen million, one hundred one thousand, three hundred forty".