2401336414314 has 24 divisors (see below), whose sum is σ = 5261355068580. Its totient is φ = 791451701568.

The previous prime is 2401336414307. The next prime is 2401336414319. The reversal of 2401336414314 is 4134146331042.

2401336414314 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 3 + 3 + 641 + 4 + 3 + 1 + 4 = 666.

2401336414314 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 1889846830089 + 511489584225 = 1374717^2 + 715185^2 .

It is not an unprimeable number, because it can be changed into a prime (2401336414319) 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, 749479177 + ... + 749482380.

Almost surely, 2^{2401336414314} is an apocalyptic number.

2401336414314 is an abundant number, since it is smaller than the sum of its proper divisors (2860018654266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2401336414314 is a wasteful number, since it uses less digits than its factorization.

2401336414314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498961654 (or 1498961651 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2401336414314 in words is "two trillion, four hundred one billion, three hundred thirty-six million, four hundred fourteen thousand, three hundred fourteen".