5334104220480 has 672 divisors, whose sum is σ = 22147972374528. Its totient is φ = 1152448819200.

The previous prime is 5334104220451. The next prime is 5334104220481. The reversal of 5334104220480 is 840224014335.

5334104220480 is a `hidden beast` number, since 5 + 33 + 410 + 4 + 2 + 204 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334104220481) 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 95 ways as a sum of consecutive naturals, for example, 26774035 + ... + 26972525.

It is an arithmetic number, because the mean of its divisors is an integer number (32958292224).

Almost surely, 2^{5334104220480} 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 5334104220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073986187264).

5334104220480 is an abundant number, since it is smaller than the sum of its proper divisors (16813868154048).

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

5334104220480 is a wasteful number, since it uses less digits than its factorization.

5334104220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198595 (or 198582 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 5334104220480 in words is "five trillion, three hundred thirty-four billion, one hundred four million, two hundred twenty thousand, four hundred eighty".