4002137738161 has 8 divisors (see below), whose sum is σ = 4030439915304. Its totient is φ = 3973871141760.

The previous prime is 4002137738153. The next prime is 4002137738171. The reversal of 4002137738161 is 1618377312004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 588626528400 + 3413511209761 = 767220^2 + 1847569^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4002137738161 - 2³ = 4002137738153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4002137738101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8669410 + ... + 9119371.

It is an arithmetic number, because the mean of its divisors is an integer number (503804989413).

Almost surely, 2^{4002137738161} is an apocalyptic number.

It is an amenable number.

4002137738161 is a deficient number, since it is larger than the sum of its proper divisors (28302177143).

4002137738161 is a wasteful number, since it uses less digits than its factorization.

4002137738161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17790371.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 4002137738161 in words is "four trillion, two billion, one hundred thirty-seven million, seven hundred thirty-eight thousand, one hundred sixty-one".