4004140124440 has 32 divisors (see below), whose sum is σ = 9010733971680. Its totient is φ = 1601403837952.

The previous prime is 4004140124429. The next prime is 4004140124461. The reversal of 4004140124440 is 444210414004.

It is a junction number, because it is equal to n+sod(n) for n = 4004140124399 and 4004140124408.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7624324 + ... + 8132563.

It is an arithmetic number, because the mean of its divisors is an integer number (281585436615).

Almost surely, 2^{4004140124440} is an apocalyptic number.

4004140124440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004140124440 is an abundant number, since it is smaller than the sum of its proper divisors (5006593847240).

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

4004140124440 is a wasteful number, since it uses less digits than its factorization.

4004140124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763251 (or 15763247 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4004140124440 its reverse (444210414004), we get a palindrome (4448350538444).

The spelling of 4004140124440 in words is "four trillion, four billion, one hundred forty million, one hundred twenty-four thousand, four hundred forty".