314400440401 has 8 divisors (see below), whose sum is σ = 333477597024. Its totient is φ = 295388063040.

The previous prime is 314400440377. The next prime is 314400440449. The reversal of 314400440401 is 104044004413.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314400440401 - 2²³ = 314392051793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314400440461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16184815 + ... + 16204228.

It is an arithmetic number, because the mean of its divisors is an integer number (41684699628).

Almost surely, 2^314400440401 is an apocalyptic number.

It is an amenable number.

314400440401 is a deficient number, since it is larger than the sum of its proper divisors (19077156623).

314400440401 is a wasteful number, since it uses less digits than its factorization.

314400440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32389631.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 314400440401 its reverse (104044004413), we get a palindrome (418444444814).

The spelling of 314400440401 in words is "three hundred fourteen billion, four hundred million, four hundred forty thousand, four hundred one".