4102420214016 has 432 divisors, whose sum is σ = 12851453841408. Its totient is φ = 1303568640000.

The previous prime is 4102420213999. The next prime is 4102420214017. The reversal of 4102420214016 is 6104120242014.

4102420214016 is a `hidden beast` number, since 4 + 10 + 2 + 420 + 214 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4102420214016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4102420214017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129190141 + ... + 129221891.

It is an arithmetic number, because the mean of its divisors is an integer number (29748735744).

Almost surely, 2^{4102420214016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102420214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425726920704).

4102420214016 is an abundant number, since it is smaller than the sum of its proper divisors (8749033627392).

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

4102420214016 is an equidigital number, since it uses as much as digits as its factorization.

4102420214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31880 (or 31854 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 4102420214016 in words is "four trillion, one hundred two billion, four hundred twenty million, two hundred fourteen thousand, sixteen".