414341020441431 has 8 divisors (see below), whose sum is σ = 613838548802160. Its totient is φ = 276227346960936.

The previous prime is 414341020441393. The next prime is 414341020441433. The reversal of 414341020441431 is 134144020143414.

414341020441431 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 4 + 1 + 0 + 204 + 414 + 31 = 666.

It is not a de Polignac number, because 414341020441431 - 2¹⁵ = 414341020408663 is a prime.

It is a super-2 number, since 2×414341020441431² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414341020441433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7672981860000 + ... + 7672981860053.

It is an arithmetic number, because the mean of its divisors is an integer number (76729818600270).

Almost surely, 2^{414341020441431} is an apocalyptic number.

414341020441431 is a deficient number, since it is larger than the sum of its proper divisors (199497528360729).

414341020441431 is a wasteful number, since it uses less digits than its factorization.

414341020441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15345963720062 (or 15345963720056 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 414341020441431 its reverse (134144020143414), we get a palindrome (548485040584845).

The spelling of 414341020441431 in words is "four hundred fourteen trillion, three hundred forty-one billion, twenty million, four hundred forty-one thousand, four hundred thirty-one".