4332061440 has 720 divisors, whose sum is σ = 18234703872. Its totient is φ = 961486848.

The previous prime is 4332061387. The next prime is 4332061457. The reversal of 4332061440 is 441602334.

4332061440 is a `hidden beast` number, since 4 + 3 + 3 + 2 + 0 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 34110657 + ... + 34110783.

Almost surely, 2^4332061440 is an apocalyptic number.

4332061440 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 4332061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117351936).

4332061440 is an abundant number, since it is smaller than the sum of its proper divisors (13902642432).

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

4332061440 is a wasteful number, since it uses less digits than its factorization.

4332061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4332061440 is about 65818.3974280748. The cubic root of 4332061440 is about 1630.1648922979.

Adding to 4332061440 its reverse (441602334), we get a palindrome (4773663774).

The spelling of 4332061440 in words is "four billion, three hundred thirty-two million, sixty-one thousand, four hundred forty".