314400410401 has 16 divisors (see below), whose sum is σ = 397349324928. Its totient is φ = 241631337600.

The previous prime is 314400410383. The next prime is 314400410411. The reversal of 314400410401 is 104014004413.

It is a cyclic number.

It is not a de Polignac number, because 314400410401 - 2¹¹ = 314400408353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314400410411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27960970 + ... + 27972211.

It is an arithmetic number, because the mean of its divisors is an integer number (24834332808).

Almost surely, 2^314400410401 is an apocalyptic number.

It is an amenable number.

314400410401 is a deficient number, since it is larger than the sum of its proper divisors (82948914527).

314400410401 is a wasteful number, since it uses less digits than its factorization.

314400410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55933272.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 314400410401 its reverse (104014004413), we get a palindrome (418414414814).

The spelling of 314400410401 in words is "three hundred fourteen billion, four hundred million, four hundred ten thousand, four hundred one".