4004052024144 has 80 divisors (see below), whose sum is σ = 10499355305792. Its totient is φ = 1314660824064.

The previous prime is 4004052024121. The next prime is 4004052024149. The reversal of 4004052024144 is 4414202504004.

It is a super-2 number, since 2×4004052024144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004052024149) 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 15 ways as a sum of consecutive naturals, for example, 1897767 + ... + 3407289.

Almost surely, 2^{4004052024144} 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 4004052024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249677652896).

4004052024144 is an abundant number, since it is smaller than the sum of its proper divisors (6495303281648).

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

4004052024144 is a wasteful number, since it uses less digits than its factorization.

4004052024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510364 (or 1510358 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 4004052024144 its reverse (4414202504004), we get a palindrome (8418254528148).

The spelling of 4004052024144 in words is "four trillion, four billion, fifty-two million, twenty-four thousand, one hundred forty-four".