4204109869344 has 432 divisors, whose sum is σ = 15110681092416. Its totient is φ = 1085267082240.

The previous prime is 4204109869313. The next prime is 4204109869357. The reversal of 4204109869344 is 4439689014024.

4204109869344 is a `hidden beast` number, since 4 + 20 + 410 + 9 + 86 + 93 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39708702 + ... + 39814434.

Almost surely, 2^{4204109869344} is an apocalyptic number.

4204109869344 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 4204109869344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555340546208).

4204109869344 is an abundant number, since it is smaller than the sum of its proper divisors (10906571223072).

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

4204109869344 is a wasteful number, since it uses less digits than its factorization.

4204109869344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105941 (or 105919 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4204109869344 in words is "four trillion, two hundred four billion, one hundred nine million, eight hundred sixty-nine thousand, three hundred forty-four".