4382265047040 has 288 divisors, whose sum is σ = 15192575667360. Its totient is φ = 1168263020544.

The previous prime is 4382265046987. The next prime is 4382265047059. The reversal of 4382265047040 is 407405622834.

It is a happy number.

4382265047040 is a `hidden beast` number, since 4 + 3 + 82 + 2 + 65 + 0 + 470 + 40 = 666.

4382265047040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568899829 + ... + 568907531.

It is an arithmetic number, because the mean of its divisors is an integer number (52751998845).

Almost surely, 2^{4382265047040} is an apocalyptic number.

4382265047040 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 4382265047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596287833680).

4382265047040 is an abundant number, since it is smaller than the sum of its proper divisors (10810310620320).

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

4382265047040 is a wasteful number, since it uses less digits than its factorization.

4382265047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13886 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4382265047040 in words is "four trillion, three hundred eighty-two billion, two hundred sixty-five million, forty-seven thousand, forty".