4331401440000 has 720 divisors, whose sum is σ = 15314941524960. Its totient is φ = 1082654720000.

The previous prime is 4331401439977. The next prime is 4331401440049. The reversal of 4331401440000 is 441041334.

4331401440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4331401440000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2292959056 + ... + 2292960944.

It is an arithmetic number, because the mean of its divisors is an integer number (21270752118).

Almost surely, 2^{4331401440000} is an apocalyptic number.

4331401440000 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 4331401440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657470762480).

4331401440000 is an abundant number, since it is smaller than the sum of its proper divisors (10983540084960).

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

4331401440000 is a wasteful number, since it uses less digits than its factorization.

4331401440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2197 counting only the distinct ones).

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

Adding to 4331401440000 its reverse (441041334), we get a palindrome (4331842481334).

The spelling of 4331401440000 in words is "four trillion, three hundred thirty-one billion, four hundred one million, four hundred forty thousand".