4326144000 has 384 divisors, whose sum is σ = 14841066240. Its totient is φ = 1118208000.

The previous prime is 4326143993. The next prime is 4326144013. The reversal of 4326144000 is 4416234.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33023935 + ... + 33024065.

It is an arithmetic number, because the mean of its divisors is an integer number (38648610).

Almost surely, 2^4326144000 is an apocalyptic number.

4326144000 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 4326144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420533120).

4326144000 is an abundant number, since it is smaller than the sum of its proper divisors (10514922240).

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

4326144000 is a wasteful number, since it uses less digits than its factorization.

4326144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4326144000 is about 65773.4292856926. The cubic root of 4326144000 is about 1629.4223052238.

The spelling of 4326144000 in words is "four billion, three hundred twenty-six million, one hundred forty-four thousand".