4003116606841 has 9 divisors (see below), whose sum is σ = 4400144098063. Its totient is φ = 3639176907520.

The previous prime is 4003116606823. The next prime is 4003116606869. The reversal of 4003116606841 is 1486066113004.

The square root of 4003116606841 is 2000779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7435440441 + 3995681166400 = 86229^2 + 1998920^2 .

It is not a de Polignac number, because 4003116606841 - 2⁵ = 4003116606809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4003116606794 and 4003116606803.

It is not an unprimeable number, because it can be changed into a prime (4003116606821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21917625 + ... + 22099513.

Almost surely, 2^{4003116606841} is an apocalyptic number.

4003116606841 is the 2000779-th square number.

4003116606841 is the 1000390-th centered octagonal number.

It is an amenable number.

4003116606841 is a deficient number, since it is larger than the sum of its proper divisors (397027491222).

4003116606841 is an frugal number, since it uses more digits than its factorization.

4003116606841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363800 (or 181900 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 4003116606841 in words is "four trillion, three billion, one hundred sixteen million, six hundred six thousand, eight hundred forty-one".