414134023331 has 16 divisors (see below), whose sum is σ = 477766460160. Its totient is φ = 351619850400.

The previous prime is 414134023313. The next prime is 414134023343. The reversal of 414134023331 is 133320431414.

It is a happy number.

It is not a de Polignac number, because 414134023331 - 2³⁸ = 139256116387 is a prime.

It is a super-2 number, since 2×414134023331² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414134023294 and 414134023303.

It is not an unprimeable number, because it can be changed into a prime (414134023301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10067756 + ... + 10108806.

It is an arithmetic number, because the mean of its divisors is an integer number (29860403760).

Almost surely, 2^414134023331 is an apocalyptic number.

414134023331 is a deficient number, since it is larger than the sum of its proper divisors (63632436829).

414134023331 is a wasteful number, since it uses less digits than its factorization.

414134023331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54634.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 414134023331 its reverse (133320431414), we get a palindrome (547454454745).

The spelling of 414134023331 in words is "four hundred fourteen billion, one hundred thirty-four million, twenty-three thousand, three hundred thirty-one".