4137004741 has 2 divisors, whose sum is σ = 4137004742. Its totient is φ = 4137004740.

The previous prime is 4137004727. The next prime is 4137004769. The reversal of 4137004741 is 1474007314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3197337025 + 939667716 = 56545^2 + 30654^2 .

It is a cyclic number.

It is not a de Polignac number, because 4137004741 - 2⁵ = 4137004709 is a prime.

It is a super-2 number, since 2×4137004741² = 34229616454112954162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4137004721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2068502370 + 2068502371.

It is an arithmetic number, because the mean of its divisors is an integer number (2068502371).

Almost surely, 2^4137004741 is an apocalyptic number.

It is an amenable number.

4137004741 is a deficient number, since it is larger than the sum of its proper divisors (1).

4137004741 is an equidigital number, since it uses as much as digits as its factorization.

4137004741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 4137004741 is about 64319.5517786000. The cubic root of 4137004741 is about 1605.3214407806.

The spelling of 4137004741 in words is "four billion, one hundred thirty-seven million, four thousand, seven hundred forty-one".