411221020122114 has 64 divisors (see below), whose sum is σ = 884746309607424. Its totient is φ = 127085269519296.

The previous prime is 411221020122053. The next prime is 411221020122167.

411221020122114 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 151768954 + ... + 154454709.

It is an arithmetic number, because the mean of its divisors is an integer number (13824161087616).

Almost surely, 2^{411221020122114} is an apocalyptic number.

411221020122114 is an abundant number, since it is smaller than the sum of its proper divisors (473525289485310).

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

411221020122114 is a wasteful number, since it uses less digits than its factorization.

411221020122114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306223991.

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 411221020122114 in words is "four hundred eleven trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred fourteen".