5382742641408 has 432 divisors, whose sum is σ = 17407148627232. Its totient is φ = 1585520640000.

The previous prime is 5382742641407. The next prime is 5382742641443. The reversal of 5382742641408 is 8041462472835.

5382742641408 is a `hidden beast` number, since 53 + 8 + 27 + 426 + 4 + 140 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5382742641407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287822458 + ... + 287841158.

It is an arithmetic number, because the mean of its divisors is an integer number (40294325526).

Almost surely, 2^{5382742641408} 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 5382742641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703574313616).

5382742641408 is an abundant number, since it is smaller than the sum of its proper divisors (12024405985824).

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

5382742641408 is a wasteful number, since it uses less digits than its factorization.

5382742641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19052 (or 19035 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 5382742641408 in words is "five trillion, three hundred eighty-two billion, seven hundred forty-two million, six hundred forty-one thousand, four hundred eight".