4399376205961 has 27 divisors (see below), whose sum is σ = 4941971958567. Its totient is φ = 3913373761440.

The previous prime is 4399376205953. The next prime is 4399376205979. The reversal of 4399376205961 is 1695026739934.

The square root of 4399376205961 is 2097469.

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., 2255658553225 + 2143717652736 = 1501885^2 + 1464144^2 .

It is not a de Polignac number, because 4399376205961 - 2³ = 4399376205953 is a prime.

It is a super-2 number, since 2×4399376205961² (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 = 4399376205893 and 4399376205902.

It is not an unprimeable number, because it can be changed into a prime (4399376205941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1084389445 + ... + 1084393501.

Almost surely, 2^{4399376205961} is an apocalyptic number.

4399376205961 is the 2097469-th square number.

4399376205961 is the 1048735-th centered octagonal number.

It is an amenable number.

4399376205961 is a deficient number, since it is larger than the sum of its proper divisors (542595752606).

4399376205961 is an frugal number, since it uses more digits than its factorization.

4399376205961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 64.

Multiplying 4399376205961 by its sum of digits (64), we get a square (281560077181504 = 16779752²).

The spelling of 4399376205961 in words is "four trillion, three hundred ninety-nine billion, three hundred seventy-six million, two hundred five thousand, nine hundred sixty-one".