4204179218304 has 384 divisors, whose sum is σ = 13656812289120. Its totient is φ = 1232684974080.

The previous prime is 4204179218299. The next prime is 4204179218311. The reversal of 4204179218304 is 4038129714024.

4204179218304 is a `hidden beast` number, since 4 + 20 + 41 + 79 + 218 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 4204179218304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26323072 + ... + 26482304.

Almost surely, 2^{4204179218304} 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 4204179218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828406144560).

4204179218304 is an abundant number, since it is smaller than the sum of its proper divisors (9452633070816).

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

4204179218304 is a wasteful number, since it uses less digits than its factorization.

4204179218304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159350 (or 159335 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 42041 and 79218304, that added together give a triangular number (79260345 = T₁₂₅₉₀).

The spelling of 4204179218304 in words is "four trillion, two hundred four billion, one hundred seventy-nine million, two hundred eighteen thousand, three hundred four".