4002121311 has 16 divisors (see below), whose sum is σ = 5352140640. Its totient is φ = 2660106240.

The previous prime is 4002121303. The next prime is 4002121337. The reversal of 4002121311 is 1131212004.

It is not a de Polignac number, because 4002121311 - 2³ = 4002121303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002121301) 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 in 15 ways as a sum of consecutive naturals, for example, 1892991 + ... + 1895103.

It is an arithmetic number, because the mean of its divisors is an integer number (334508790).

Almost surely, 2^4002121311 is an apocalyptic number.

4002121311 is a deficient number, since it is larger than the sum of its proper divisors (1350019329).

4002121311 is a wasteful number, since it uses less digits than its factorization.

4002121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4002121311 is about 63262.3214164640. The cubic root of 4002121311 is about 1587.6816166530.

Adding to 4002121311 its reverse (1131212004), we get a palindrome (5133333315).

The spelling of 4002121311 in words is "four billion, two million, one hundred twenty-one thousand, three hundred eleven".