5440048251984 has 160 divisors (see below), whose sum is σ = 16537794727680. Its totient is φ = 1706236416000.

The previous prime is 5440048251961. The next prime is 5440048252039. The reversal of 5440048251984 is 4891528400445.

5440048251984 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 0 + 48 + 2 + 519 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5440048251984.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28627684 + ... + 28817084.

It is an arithmetic number, because the mean of its divisors is an integer number (103361217048).

Almost surely, 2^{5440048251984} is an apocalyptic number.

5440048251984 is a gapful number since it is divisible by the number (54) 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 5440048251984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268897363840).

5440048251984 is an abundant number, since it is smaller than the sum of its proper divisors (11097746475696).

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

5440048251984 is a wasteful number, since it uses less digits than its factorization.

5440048251984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193346 (or 193334 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5440048251984 in words is "five trillion, four hundred forty billion, forty-eight million, two hundred fifty-one thousand, nine hundred eighty-four".