4334148000 has 1152 divisors, whose sum is σ = 20033395200. Its totient is φ = 914457600.

The previous prime is 4334147971. The next prime is 4334148031. The reversal of 4334148000 is 8414334.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333395994 + ... + 333396006.

It is an arithmetic number, because the mean of its divisors is an integer number (17390100).

Almost surely, 2^4334148000 is an apocalyptic number.

4334148000 is a gapful number since it is divisible by the number (40) 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 4334148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016697600).

4334148000 is an abundant number, since it is smaller than the sum of its proper divisors (15699247200).

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

4334148000 is an equidigital number, since it uses as much as digits as its factorization.

4334148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4334148000 is about 65834.2464071702. The cubic root of 4334148000 is about 1630.4265760978.

The spelling of 4334148000 in words is "four billion, three hundred thirty-four million, one hundred forty-eight thousand".