4002104144 has 80 divisors (see below), whose sum is σ = 8382320640. Its totient is φ = 1846373760.

The previous prime is 4002104101. The next prime is 4002104179. The reversal of 4002104144 is 4414012004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1226387 + ... + 1229645.

It is an arithmetic number, because the mean of its divisors is an integer number (104779008).

Almost surely, 2^4002104144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191160320).

4002104144 is an abundant number, since it is smaller than the sum of its proper divisors (4380216496).

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

4002104144 is a wasteful number, since it uses less digits than its factorization.

4002104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4002104144 is about 63262.1857352400. The cubic root of 4002104144 is about 1587.6793465428.

Adding to 4002104144 its reverse (4414012004), we get a palindrome (8416116148).

The spelling of 4002104144 in words is "four billion, two million, one hundred four thousand, one hundred forty-four".