5184681332040 has 1024 divisors, whose sum is σ = 20925775872000. Its totient is φ = 1116306385920.

The previous prime is 5184681332023. The next prime is 5184681332053. The reversal of 5184681332040 is 402331864815.

5184681332040 is a `hidden beast` number, since 5 + 18 + 468 + 133 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3553584831 + ... + 3553586289.

It is an arithmetic number, because the mean of its divisors is an integer number (20435328000).

Almost surely, 2^{5184681332040} 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 5184681332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10462887936000).

5184681332040 is an abundant number, since it is smaller than the sum of its proper divisors (15741094539960).

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

5184681332040 is a wasteful number, since it uses less digits than its factorization.

5184681332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5184681332040 in words is "five trillion, one hundred eighty-four billion, six hundred eighty-one million, three hundred thirty-two thousand, forty".