411141114 has 48 divisors (see below), whose sum is σ = 963062880. Its totient is φ = 126321120.

The previous prime is 411141109. The next prime is 411141119.

411141114 is a `hidden beast` number, since 411 + 141 + 114 = 666.

411141114 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (411141109) and next prime (411141119).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (411141119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3592 + ... + 28899.

It is an arithmetic number, because the mean of its divisors is an integer number (20063810).

Almost surely, 2^411141114 is an apocalyptic number.

411141114 is an abundant number, since it is smaller than the sum of its proper divisors (551921766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411141114 is a wasteful number, since it uses less digits than its factorization.

411141114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32555 (or 32552 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 411141114 is about 20276.6149541781. The cubic root of 411141114 is about 743.5844562097.

The spelling of 411141114 in words is "four hundred eleven million, one hundred forty-one thousand, one hundred fourteen".