3132441104040 has 144 divisors (see below), whose sum is σ = 10642306458420. Its totient is φ = 798999421440.

The previous prime is 3132441103999. The next prime is 3132441104053. The reversal of 3132441104040 is 404011442313.

3132441104040 is a `hidden beast` number, since 3 + 1 + 3 + 244 + 1 + 10 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3109939304004 + 22501800036 = 1763502^2 + 150006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3132441103995 and 3132441104013.

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 35 ways as a sum of consecutive naturals, for example, 8033781 + ... + 8414660.

Almost surely, 2^{3132441104040} is an apocalyptic number.

3132441104040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3132441104040 is an abundant number, since it is smaller than the sum of its proper divisors (7509865354380).

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

3132441104040 is a wasteful number, since it uses less digits than its factorization.

3132441104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448504 (or 16448474 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3132441104040 its reverse (404011442313), we get a palindrome (3536452546353).

The spelling of 3132441104040 in words is "three trillion, one hundred thirty-two billion, four hundred forty-one million, one hundred four thousand, forty".