5806405140480 has 720 divisors, whose sum is σ = 23856284350080. Its totient is φ = 1327146467328.

The previous prime is 5806405140467. The next prime is 5806405140509. The reversal of 5806405140480 is 840415046085.

It is a happy number.

5806405140480 is a `hidden beast` number, since 5 + 80 + 6 + 4 + 0 + 51 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 47 ways as a sum of consecutive naturals, for example, 139325086 + ... + 139366754.

It is an arithmetic number, because the mean of its divisors is an integer number (33133728264).

Almost surely, 2^{5806405140480} 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 5806405140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11928142175040).

5806405140480 is an abundant number, since it is smaller than the sum of its proper divisors (18049879209600).

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

5806405140480 is an frugal number, since it uses more digits than its factorization.

5806405140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41724 (or 41686 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 5806405140480 in words is "five trillion, eight hundred six billion, four hundred five million, one hundred forty thousand, four hundred eighty".