414050131331 has 16 divisors (see below), whose sum is σ = 433848461088. Its totient is φ = 394798060800.

The previous prime is 414050131321. The next prime is 414050131333. The reversal of 414050131331 is 133131050414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414050131331 is a prime.

It is a super-2 number, since 2×414050131331² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414050131331.

It is not an unprimeable number, because it can be changed into a prime (414050131333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134585 + ... + 919898.

It is an arithmetic number, because the mean of its divisors is an integer number (27115528818).

Almost surely, 2^414050131331 is an apocalyptic number.

414050131331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414050131331 is a deficient number, since it is larger than the sum of its proper divisors (19798329757).

414050131331 is a wasteful number, since it uses less digits than its factorization.

414050131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054742.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 414050131331 its reverse (133131050414), we get a palindrome (547181181745).

The spelling of 414050131331 in words is "four hundred fourteen billion, fifty million, one hundred thirty-one thousand, three hundred thirty-one".