5284432189440 has 768 divisors, whose sum is σ = 20754660326400. Its totient is φ = 1268598177792.

The previous prime is 5284432189403. The next prime is 5284432189441. The reversal of 5284432189440 is 449812344825.

5284432189440 is a `hidden beast` number, since 5 + 2 + 84 + 43 + 2 + 1 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5284432189441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108079239 + ... + 108128121.

It is an arithmetic number, because the mean of its divisors is an integer number (27024297300).

Almost surely, 2^{5284432189440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284432189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377330163200).

5284432189440 is an abundant number, since it is smaller than the sum of its proper divisors (15470228136960).

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

5284432189440 is a wasteful number, since it uses less digits than its factorization.

5284432189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48959 (or 48933 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5284432189440 in words is "five trillion, two hundred eighty-four billion, four hundred thirty-two million, one hundred eighty-nine thousand, four hundred forty".