4013322320 has 40 divisors (see below), whose sum is σ = 10663972224. Its totient is φ = 1375996032.

The previous prime is 4013322307. The next prime is 4013322331. The reversal of 4013322320 is 232233104.

4013322320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4013322320² = 32213512088420364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4013322292 and 4013322301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3582764 + ... + 3583883.

Almost surely, 2^4013322320 is an apocalyptic number.

4013322320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013322320 is an abundant number, since it is smaller than the sum of its proper divisors (6650649904).

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

4013322320 is a wasteful number, since it uses less digits than its factorization.

4013322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166667 (or 7166661 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4013322320 is about 63350.7878404050. The cubic root of 4013322320 is about 1589.1614211274.

Adding to 4013322320 its reverse (232233104), we get a palindrome (4245555424).

The spelling of 4013322320 in words is "four billion, thirteen million, three hundred twenty-two thousand, three hundred twenty".