4123088352 has 192 divisors, whose sum is σ = 12284213760. Its totient is φ = 1345185792.

The previous prime is 4123088297. The next prime is 4123088383. The reversal of 4123088352 is 2538803214.

4123088352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9521928 + ... + 9522360.

It is an arithmetic number, because the mean of its divisors is an integer number (63980280).

Almost surely, 2^4123088352 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 4123088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

4123088352 is an abundant number, since it is smaller than the sum of its proper divisors (8161125408).

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

4123088352 is a wasteful number, since it uses less digits than its factorization.

4123088352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4123088352 is about 64211.2790092208. The cubic root of 4123088352 is about 1603.5193822088.

The spelling of 4123088352 in words is "four billion, one hundred twenty-three million, eighty-eight thousand, three hundred fifty-two".