2414132200314 has 48 divisors (see below), whose sum is σ = 5276319370920. Its totient is φ = 797696793600.

The previous prime is 2414132200309. The next prime is 2414132200343. The reversal of 2414132200314 is 4130022314142.

2414132200314 is a `hidden beast` number, since 2 + 4 + 14 + 132 + 200 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2399453666289 + 14678534025 = 1549017^2 + 121155^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030402 + ... + 2426930.

Almost surely, 2^{2414132200314} is an apocalyptic number.

2414132200314 is an abundant number, since it is smaller than the sum of its proper divisors (2862187170606).

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

2414132200314 is a wasteful number, since it uses less digits than its factorization.

2414132200314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397375 (or 1397372 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2414132200314 its reverse (4130022314142), we get a palindrome (6544154514456).

The spelling of 2414132200314 in words is "two trillion, four hundred fourteen billion, one hundred thirty-two million, two hundred thousand, three hundred fourteen".