4214301220311 has 128 divisors (see below), whose sum is σ = 7471717779456. Its totient is φ = 2049827143680.

The previous prime is 4214301220309. The next prime is 4214301220331. The reversal of 4214301220311 is 1130221034124.

It is not a de Polignac number, because 4214301220311 - 2¹ = 4214301220309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214301220331) by changing a digit.

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, 72727996 + ... + 72785918.

It is an arithmetic number, because the mean of its divisors is an integer number (58372795152).

Almost surely, 2^{4214301220311} is an apocalyptic number.

4214301220311 is a deficient number, since it is larger than the sum of its proper divisors (3257416559145).

4214301220311 is a wasteful number, since it uses less digits than its factorization.

4214301220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58281.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4214301220311 its reverse (1130221034124), we get a palindrome (5344522254435).

The spelling of 4214301220311 in words is "four trillion, two hundred fourteen billion, three hundred one million, two hundred twenty thousand, three hundred eleven".