4214662664124 has 288 divisors, whose sum is σ = 11518371325440. Its totient is φ = 1196016814080.

The previous prime is 4214662664081. The next prime is 4214662664153.

4214662664124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333987087 + ... + 333999705.

It is an arithmetic number, because the mean of its divisors is an integer number (39994344880).

Almost surely, 2^{4214662664124} is an apocalyptic number.

4214662664124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214662664124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759185662720).

4214662664124 is an abundant number, since it is smaller than the sum of its proper divisors (7303708661316).

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

4214662664124 is a wasteful number, since it uses less digits than its factorization.

4214662664124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881 (or 12868 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 4214662664124 in words is "four trillion, two hundred fourteen billion, six hundred sixty-two million, six hundred sixty-four thousand, one hundred twenty-four".