4013331344 has 40 divisors (see below), whose sum is σ = 8775241920. Its totient is φ = 1761334400.

The previous prime is 4013331319. The next prime is 4013331367. The reversal of 4013331344 is 4431333104.

It is a happy number.

It is a super-2 number, since 2×4013331344² = 32213656953465692672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388052 + ... + 398259.

It is an arithmetic number, because the mean of its divisors is an integer number (219381048).

Almost surely, 2^4013331344 is an apocalyptic number.

4013331344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4013331344 is an abundant number, since it is smaller than the sum of its proper divisors (4761910576).

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

4013331344 is a wasteful number, since it uses less digits than its factorization.

4013331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786359 (or 786353 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 4013331344 is about 63350.8590628414. The cubic root of 4013331344 is about 1589.1626122089.

Adding to 4013331344 its reverse (4431333104), we get a palindrome (8444664448).

The spelling of 4013331344 in words is "four billion, thirteen million, three hundred thirty-one thousand, three hundred forty-four".