4013300340 has 144 divisors (see below), whose sum is σ = 13929132672. Its totient is φ = 916247808.

The previous prime is 4013300339. The next prime is 4013300371. The reversal of 4013300340 is 430033104.

It is a super-2 number, since 2×4013300340² = 32213159238088231200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645602 + ... + 1648038.

It is an arithmetic number, because the mean of its divisors is an integer number (96730088).

Almost surely, 2^4013300340 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 4013300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964566336).

4013300340 is an abundant number, since it is smaller than the sum of its proper divisors (9915832332).

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

4013300340 is a wasteful number, since it uses less digits than its factorization.

4013300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4013300340 is about 63350.6143616619. The cubic root of 4013300340 is about 1589.1585199706.

Adding to 4013300340 its reverse (430033104), we get a palindrome (4443333444).

The spelling of 4013300340 in words is "four billion, thirteen million, three hundred thousand, three hundred forty".