414133342310133 has 96 divisors (see below), whose sum is σ = 632909817251712. Its totient is φ = 260637495206400.

The previous prime is 414133342310119. The next prime is 414133342310147. The reversal of 414133342310133 is 331013243331414.

414133342310133 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 334 + 2 + 310 + 1 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (414133342310119) and next prime (414133342310147).

It is not a de Polignac number, because 414133342310133 - 2⁴ = 414133342310117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414133342310033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1078108923 + ... + 1078492983.

It is an arithmetic number, because the mean of its divisors is an integer number (6592810596372).

Almost surely, 2^{414133342310133} is an apocalyptic number.

It is an amenable number.

414133342310133 is a deficient number, since it is larger than the sum of its proper divisors (218776474941579).

414133342310133 is a wasteful number, since it uses less digits than its factorization.

414133342310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384835 (or 384832 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 414133342310133 its reverse (331013243331414), we get a palindrome (745146585641547).

The spelling of 414133342310133 in words is "four hundred fourteen trillion, one hundred thirty-three billion, three hundred forty-two million, three hundred ten thousand, one hundred thirty-three".