314202400040441 has 12 divisors (see below), whose sum is σ = 345365955244800. Its totient is φ = 285636075366840.

The previous prime is 314202400040429. The next prime is 314202400040467. The reversal of 314202400040441 is 144040004202413.

It is not a de Polignac number, because 314202400040441 - 2¹⁰ = 314202400039417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314202400040491) 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, 2895200 + ... + 25234638.

It is an arithmetic number, because the mean of its divisors is an integer number (28780496270400).

Almost surely, 2^{314202400040441} is an apocalyptic number.

It is an amenable number.

314202400040441 is a deficient number, since it is larger than the sum of its proper divisors (31163555204359).

314202400040441 is a wasteful number, since it uses less digits than its factorization.

314202400040441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22455700 (or 22455689 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 314202400040441 its reverse (144040004202413), we get a palindrome (458242404242854).

The spelling of 314202400040441 in words is "three hundred fourteen trillion, two hundred two billion, four hundred million, forty thousand, four hundred forty-one".