4072981319 has 16 divisors (see below), whose sum is σ = 4559417856. Its totient is φ = 3606657600.

The previous prime is 4072981307. The next prime is 4072981327. The reversal of 4072981319 is 9131892704.

4072981319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4072981319 - 2¹⁶ = 4072915783 is a prime.

It is a super-2 number, since 2×4072981319² = 33178353649845959522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4072981319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072981019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90419 + ... + 127755.

It is an arithmetic number, because the mean of its divisors is an integer number (284963616).

Almost surely, 2^4072981319 is an apocalyptic number.

4072981319 is a deficient number, since it is larger than the sum of its proper divisors (486436537).

4072981319 is a wasteful number, since it uses less digits than its factorization.

4072981319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37606.

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 4072981319 is about 63819.9131854627. The cubic root of 4072981319 is about 1596.9971437210.

The spelling of 4072981319 in words is "four billion, seventy-two million, nine hundred eighty-one thousand, three hundred nineteen".