355200314440401 has 12 divisors (see below), whose sum is σ = 543247539732612. Its totient is φ = 222870785531136.

The previous prime is 355200314440397. The next prime is 355200314440417. The reversal of 355200314440401 is 104044413002553.

355200314440401 is a `hidden beast` number, since 3 + 5 + 5 + 200 + 3 + 1 + 4 + 4 + 40 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103572652014225 + 251627662426176 = 10177065^2 + 15862776^2 .

It is not a de Polignac number, because 355200314440401 - 2² = 355200314440397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (355200314440441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1160785341156 + ... + 1160785341461.

It is an arithmetic number, because the mean of its divisors is an integer number (45270628311051).

Almost surely, 2^{355200314440401} is an apocalyptic number.

It is an amenable number.

355200314440401 is a deficient number, since it is larger than the sum of its proper divisors (188047225292211).

355200314440401 is a wasteful number, since it uses less digits than its factorization.

355200314440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321570682640 (or 2321570682637 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 355200314440401 its reverse (104044413002553), we get a palindrome (459244727442954).

The spelling of 355200314440401 in words is "three hundred fifty-five trillion, two hundred billion, three hundred fourteen million, four hundred forty thousand, four hundred one".