4097616402049 has 9 divisors (see below), whose sum is σ = 4127591167713. Its totient is φ = 4067857799892.

The previous prime is 4097616402037. The next prime is 4097616402073. The reversal of 4097616402049 is 9402046167904.

The square root of 4097616402049 is 2024257.

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

It is not a de Polignac number, because 4097616402049 - 2¹⁷ = 4097616270977 is a prime.

It is a super-2 number, since 2×4097616402049² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4097616401987 and 4097616402005.

It is not an unprimeable number, because it can be changed into a prime (4097616402349) 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, 281364442 + ... + 281379004.

It is an arithmetic number, because the mean of its divisors is an integer number (458621240857).

Almost surely, 2^{4097616402049} is an apocalyptic number.

4097616402049 is the 2024257-th square number.

4097616402049 is the 1012129-th centered octagonal number.

It is an amenable number.

4097616402049 is a deficient number, since it is larger than the sum of its proper divisors (29974765664).

4097616402049 is an frugal number, since it uses more digits than its factorization.

4097616402049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29404 (or 14702 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

It can be divided in two parts, 40976 and 16402049, that added together give a square (16443025 = 4055²).

The spelling of 4097616402049 in words is "four trillion, ninety-seven billion, six hundred sixteen million, four hundred two thousand, forty-nine".