4004452324240 has 40 divisors (see below), whose sum is σ = 9310708060920. Its totient is φ = 1601719612416.

The previous prime is 4004452324211. The next prime is 4004452324259. The reversal of 4004452324240 is 424232544004.

It can be written as a sum of positive squares in 4 ways, for example, as 254048257024 + 3750404067216 = 504032^2 + 1936596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4004452324240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4004452324196 and 4004452324205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1174282 + ... + 3063958.

It is an arithmetic number, because the mean of its divisors is an integer number (232767701523).

Almost surely, 2^{4004452324240} is an apocalyptic number.

4004452324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004452324240 is an abundant number, since it is smaller than the sum of its proper divisors (5306255736680).

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

4004452324240 is a wasteful number, since it uses less digits than its factorization.

4004452324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916179 (or 1916173 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 4004452324240 its reverse (424232544004), we get a palindrome (4428684868244).

The spelling of 4004452324240 in words is "four trillion, four billion, four hundred fifty-two million, three hundred twenty-four thousand, two hundred forty".