4117249405076 has 48 divisors (see below), whose sum is σ = 7433596855440. Its totient is φ = 1993874227200.

The previous prime is 4117249404991. The next prime is 4117249405079. The reversal of 4117249405076 is 6705049427114.

4117249405076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 296491140100 + 3820758264976 = 544510^2 + 1954676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117249405079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325390766 + ... + 325403418.

It is an arithmetic number, because the mean of its divisors is an integer number (154866601155).

Almost surely, 2^{4117249405076} is an apocalyptic number.

It is an amenable number.

4117249405076 is a deficient number, since it is larger than the sum of its proper divisors (3316347450364).

4117249405076 is a wasteful number, since it uses less digits than its factorization.

4117249405076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22524 (or 22522 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 4117249405076 in words is "four trillion, one hundred seventeen billion, two hundred forty-nine million, four hundred five thousand, seventy-six".