4002131144 has 24 divisors (see below), whose sum is σ = 8248195830. Its totient is φ = 1819150080.

The previous prime is 4002131141. The next prime is 4002131149. The reversal of 4002131144 is 4411312004.

It can be written as a sum of positive squares in only one way, i.e., 3345234244 + 656896900 = 57838^2 + 25630^2 .

It is not an unprimeable number, because it can be changed into a prime (4002131141) 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 5 ways as a sum of consecutive naturals, for example, 2066249 + ... + 2068184.

Almost surely, 2^4002131144 is an apocalyptic number.

4002131144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4002131144 is an abundant number, since it is smaller than the sum of its proper divisors (4246064686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002131144 is a wasteful number, since it uses less digits than its factorization.

4002131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134461 (or 4134446 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4002131144 is about 63262.3991325021. The cubic root of 4002131144 is about 1587.6829169352.

Adding to 4002131144 its reverse (4411312004), we get a palindrome (8413443148).

The spelling of 4002131144 in words is "four billion, two million, one hundred thirty-one thousand, one hundred forty-four".