414113503141 has 8 divisors (see below), whose sum is σ = 446074201944. Its totient is φ = 382167920640.

The previous prime is 414113503103. The next prime is 414113503151. The reversal of 414113503141 is 141305311414.

It can be written as a sum of positive squares in 4 ways, for example, as 5701760100 + 408411743041 = 75510^2 + 639071^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414113503141 - 2¹⁵ = 414113470373 is a prime.

It is a super-2 number, since 2×414113503141² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414113503151) 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 7 ways as a sum of consecutive naturals, for example, 3722140 + ... + 3831781.

It is an arithmetic number, because the mean of its divisors is an integer number (55759275243).

Almost surely, 2^414113503141 is an apocalyptic number.

It is an amenable number.

414113503141 is a deficient number, since it is larger than the sum of its proper divisors (31960698803).

414113503141 is a wasteful number, since it uses less digits than its factorization.

414113503141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558151.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 414113503141 its reverse (141305311414), we get a palindrome (555418814555).

The spelling of 414113503141 in words is "four hundred fourteen billion, one hundred thirteen million, five hundred three thousand, one hundred forty-one".