4097413978849 has 81 divisors (see below), whose sum is σ = 4729922092371. Its totient is φ = 3548353902720.

The previous prime is 4097413978841. The next prime is 4097413978877. The reversal of 4097413978849 is 9488793147904.

The square root of 4097413978849 is 2024207.

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

4097413978849 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 only one way, i.e., 3190028184225 + 907385794624 = 1786065^2 + 952568^2 .

It is not a de Polignac number, because 4097413978849 - 2³ = 4097413978841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4097413978841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24535412964 + ... + 24535413130.

Almost surely, 2^{4097413978849} is an apocalyptic number.

4097413978849 is the 2024207-th square number.

4097413978849 is the 1012104-th centered octagonal number.

It is an amenable number.

4097413978849 is a deficient number, since it is larger than the sum of its proper divisors (632508113522).

4097413978849 is an equidigital number, since it uses as much as digits as its factorization.

4097413978849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 73.

The spelling of 4097413978849 in words is "four trillion, ninety-seven billion, four hundred thirteen million, nine hundred seventy-eight thousand, eight hundred forty-nine".