2623200435441 has 20 divisors (see below), whose sum is σ = 4053732477300. Its totient is φ = 1688496830496.

The previous prime is 2623200435433. The next prime is 2623200435451. The reversal of 2623200435441 is 1445340023262.

2623200435441 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 200 + 4 + 3 + 5 + 441 = 666.

2623200435441 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 2 ways, for example, as 1195643837025 + 1427556598416 = 1093455^2 + 1194804^2 .

It is not a de Polignac number, because 2623200435441 - 2³ = 2623200435433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2623200435396 and 2623200435405.

It is not an unprimeable number, because it can be changed into a prime (2623200435431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 558363006 + ... + 558367703.

It is an arithmetic number, because the mean of its divisors is an integer number (202686623865).

Almost surely, 2^{2623200435441} is an apocalyptic number.

It is an amenable number.

2623200435441 is a deficient number, since it is larger than the sum of its proper divisors (1430532041859).

2623200435441 is a wasteful number, since it uses less digits than its factorization.

2623200435441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116730750 (or 1116730741 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2623200435441 in words is "two trillion, six hundred twenty-three billion, two hundred million, four hundred thirty-five thousand, four hundred forty-one".