4129273344 has 640 divisors, whose sum is σ = 14849049600. Its totient is φ = 990904320.

The previous prime is 4129273339. The next prime is 4129273387. The reversal of 4129273344 is 4433729214.

4129273344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100713964 + ... + 100714004.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^4129273344 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 4129273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424524800).

4129273344 is an abundant number, since it is smaller than the sum of its proper divisors (10719776256).

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

4129273344 is a wasteful number, since it uses less digits than its factorization.

4129273344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 4129273344 is about 64259.4222196247. The cubic root of 4129273344 is about 1604.3207879082.

The spelling of 4129273344 in words is "four billion, one hundred twenty-nine million, two hundred seventy-three thousand, three hundred forty-four".