5334451531440 has 240 divisors, whose sum is σ = 17294486519520. Its totient is φ = 1360086548480.

The previous prime is 5334451531427. The next prime is 5334451531441. The reversal of 5334451531440 is 441351544335.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5334451531440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5334451531392 and 5334451531401.

It is not an unprimeable number, because it can be changed into a prime (5334451531441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347989696 + ... + 348005024.

It is an arithmetic number, because the mean of its divisors is an integer number (72060360498).

Almost surely, 2^{5334451531440} 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 5334451531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647243259760).

5334451531440 is an abundant number, since it is smaller than the sum of its proper divisors (11960034988080).

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

5334451531440 is a wasteful number, since it uses less digits than its factorization.

5334451531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18132 (or 18103 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 5334451531440 in words is "five trillion, three hundred thirty-four billion, four hundred fifty-one million, five hundred thirty-one thousand, four hundred forty".