3540503140641 has 24 divisors (see below), whose sum is σ = 5186124938280. Its totient is φ = 2327268672000.

The previous prime is 3540503140579. The next prime is 3540503140709. The reversal of 3540503140641 is 1460413050453.

3540503140641 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 5 + 0 + 3 + 1 + 4 + 0 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2671312392225 + 869190748416 = 1634415^2 + 932304^2 .

It is not a de Polignac number, because 3540503140641 - 2⁷ = 3540503140513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3540503140596 and 3540503140605.

It is not an unprimeable number, because it can be changed into a prime (3540503140441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7861726 + ... + 8299863.

It is an arithmetic number, because the mean of its divisors is an integer number (216088539095).

Almost surely, 2^{3540503140641} is an apocalyptic number.

It is an amenable number.

3540503140641 is a deficient number, since it is larger than the sum of its proper divisors (1645621797639).

3540503140641 is a wasteful number, since it uses less digits than its factorization.

3540503140641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16161937 (or 16161934 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3540503140641 in words is "three trillion, five hundred forty billion, five hundred three million, one hundred forty thousand, six hundred forty-one".