4129804224 has 224 divisors, whose sum is σ = 14943165440. Its totient is φ = 1089137664.

The previous prime is 4129804187. The next prime is 4129804279. The reversal of 4129804224 is 4224089214.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144117 + ... + 170379.

It is an arithmetic number, because the mean of its divisors is an integer number (66710560).

Almost surely, 2^4129804224 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 4129804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471582720).

4129804224 is an abundant number, since it is smaller than the sum of its proper divisors (10813361216).

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

4129804224 is a wasteful number, since it uses less digits than its factorization.

4129804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26304 (or 26288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4129804224 is about 64263.5528429607. The cubic root of 4129804224 is about 1604.3895381258.

The spelling of 4129804224 in words is "four billion, one hundred twenty-nine million, eight hundred four thousand, two hundred twenty-four".