4002735461 has 2 divisors, whose sum is σ = 4002735462. Its totient is φ = 4002735460.

The previous prime is 4002735431. The next prime is 4002735511. The reversal of 4002735461 is 1645372004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3478050625 + 524684836 = 58975^2 + 22906^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4002735461 is a prime.

It is a super-3 number, since 3×4002735461³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4002735421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001367730 + 2001367731.

It is an arithmetic number, because the mean of its divisors is an integer number (2001367731).

Almost surely, 2^4002735461 is an apocalyptic number.

It is an amenable number.

4002735461 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002735461 is an equidigital number, since it uses as much as digits as its factorization.

4002735461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4002735461 is about 63267.1752253884. The cubic root of 4002735461 is about 1587.7628256517.

The spelling of 4002735461 in words is "four billion, two million, seven hundred thirty-five thousand, four hundred sixty-one".