4289335087041 has 45 divisors (see below), whose sum is σ = 6435462929203. Its totient is φ = 2847142725120.

The previous prime is 4289335087031. The next prime is 4289335087057. The reversal of 4289335087041 is 1407805339824.

It is a happy number.

The square root of 4289335087041 is 2071071.

It is a perfect power (a square), and thus also a powerful number.

4289335087041 is a `hidden beast` number, since 4 + 2 + 8 + 93 + 3 + 508 + 7 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3871760647041 + 417574440000 = 1967679^2 + 646200^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4289335087041 is a prime.

It is a super-2 number, since 2×4289335087041² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4289335087031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6691630081 + ... + 6691630721.

Almost surely, 2^{4289335087041} is an apocalyptic number.

4289335087041 is the 2071071-st square number.

4289335087041 is the 1035536-th centered octagonal number.

It is an amenable number.

4289335087041 is a deficient number, since it is larger than the sum of its proper divisors (2146127842162).

4289335087041 is an frugal number, since it uses more digits than its factorization.

4289335087041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4289335087041 in words is "four trillion, two hundred eighty-nine billion, three hundred thirty-five million, eighty-seven thousand, forty-one".