4204142414024 has 80 divisors (see below), whose sum is σ = 9228752222220. Its totient is φ = 1795361003520.

The previous prime is 4204142413979. The next prime is 4204142414047.

4204142414024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4041989620900 + 162152793124 = 2010470^2 + 402682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5007992 + ... + 5786904.

Almost surely, 2^{4204142414024} 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 4204142414024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614376111110).

4204142414024 is an abundant number, since it is smaller than the sum of its proper divisors (5024609808196).

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

4204142414024 is an equidigital number, since it uses as much as digits as its factorization.

4204142414024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779228 (or 779203 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 4204142414024 in words is "four trillion, two hundred four billion, one hundred forty-two million, four hundred fourteen thousand, twenty-four".