411241404142114 has 384 divisors, whose sum is σ = 815232616692480. Its totient is φ = 154009900800000.

The previous prime is 411241404142103. The next prime is 411241404142183.

411241404142114 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×411241404142114³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 411241404142114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182692759489 + ... + 182692761739.

It is an arithmetic number, because the mean of its divisors is an integer number (2123001605970).

Almost surely, 2^{411241404142114} is an apocalyptic number.

411241404142114 is a deficient number, since it is larger than the sum of its proper divisors (403991212550366).

411241404142114 is a wasteful number, since it uses less digits than its factorization.

411241404142114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

It can be divided in two parts, 41124140 and 4142114, that added together give a palindrome (45266254).

The spelling of 411241404142114 in words is "four hundred eleven trillion, two hundred forty-one billion, four hundred four million, one hundred forty-two thousand, one hundred fourteen".