411420222024114 has 256 divisors, whose sum is σ = 915743102976000. Its totient is φ = 122719295462400.

The previous prime is 411420222024047. The next prime is 411420222024131.

411420222024114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35878621809 + ... + 35878633275.

It is an arithmetic number, because the mean of its divisors is an integer number (3577121496000).

Almost surely, 2^{411420222024114} is an apocalyptic number.

411420222024114 is an abundant number, since it is smaller than the sum of its proper divisors (504322880951886).

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

411420222024114 is a wasteful number, since it uses less digits than its factorization.

411420222024114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12849.

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 411420222024114 in words is "four hundred eleven trillion, four hundred twenty billion, two hundred twenty-two million, twenty-four thousand, one hundred fourteen".