5409334728576 has 512 divisors, whose sum is σ = 16810073280000. Its totient is φ = 1710164606976.

The previous prime is 5409334728493. The next prime is 5409334728601. The reversal of 5409334728576 is 6758274339045.

It is a happy number.

5409334728576 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 3 + 34 + 7 + 28 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1351318191 + ... + 1351322193.

It is an arithmetic number, because the mean of its divisors is an integer number (32832174375).

Almost surely, 2^{5409334728576} 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 5409334728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405036640000).

5409334728576 is an abundant number, since it is smaller than the sum of its proper divisors (11400738551424).

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

5409334728576 is a wasteful number, since it uses less digits than its factorization.

5409334728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 5409334728576 in words is "five trillion, four hundred nine billion, three hundred thirty-four million, seven hundred twenty-eight thousand, five hundred seventy-six".