4204929724416 has 624 divisors, whose sum is σ = 13060506251520. Its totient is φ = 1300561920000.

The previous prime is 4204929724399. The next prime is 4204929724417. The reversal of 4204929724416 is 6144279294024.

4204929724416 is a `hidden beast` number, since 4 + 2 + 0 + 492 + 97 + 24 + 41 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4204929724417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5998472866 + ... + 5998473566.

It is an arithmetic number, because the mean of its divisors is an integer number (20930298480).

Almost surely, 2^{4204929724416} 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 4204929724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530253125760).

4204929724416 is an abundant number, since it is smaller than the sum of its proper divisors (8855576527104).

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

4204929724416 is a wasteful number, since it uses less digits than its factorization.

4204929724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4204929724416 in words is "four trillion, two hundred four billion, nine hundred twenty-nine million, seven hundred twenty-four thousand, four hundred sixteen".