4072742225831 has 16 divisors (see below), whose sum is σ = 4135856145408. Its totient is φ = 4009791794400.

The previous prime is 4072742225803. The next prime is 4072742225861. The reversal of 4072742225831 is 1385222472704.

4072742225831 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 4072742225831 - 2¹⁴ = 4072742209447 is a prime.

It is a super-2 number, since 2×4072742225831² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072742225861) 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, 174701666 + ... + 174724976.

It is an arithmetic number, because the mean of its divisors is an integer number (258491009088).

Almost surely, 2^{4072742225831} is an apocalyptic number.

4072742225831 is a deficient number, since it is larger than the sum of its proper divisors (63113919577).

4072742225831 is a wasteful number, since it uses less digits than its factorization.

4072742225831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26702.

The product of its (nonzero) digits is 1505280, while the sum is 47.

The spelling of 4072742225831 in words is "four trillion, seventy-two billion, seven hundred forty-two million, two hundred twenty-five thousand, eight hundred thirty-one".