4002035121 has 80 divisors (see below), whose sum is σ = 7156664064. Its totient is φ = 2179115136.

The previous prime is 4002035087. The next prime is 4002035137. The reversal of 4002035121 is 1215302004.

It is not a de Polignac number, because 4002035121 - 2¹⁰ = 4002034097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4002035094 and 4002035103.

It is not an unprimeable number, because it can be changed into a prime (4002035221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5176891 + ... + 5177663.

Almost surely, 2^4002035121 is an apocalyptic number.

It is an amenable number.

4002035121 is a deficient number, since it is larger than the sum of its proper divisors (3154628943).

4002035121 is a wasteful number, since it uses less digits than its factorization.

4002035121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4002035121 is about 63261.6402016261. The cubic root of 4002035121 is about 1587.6702190924.

Adding to 4002035121 its reverse (1215302004), we get a palindrome (5217337125).

The spelling of 4002035121 in words is "four billion, two million, thirty-five thousand, one hundred twenty-one".