5465366164440 has 2304 divisors, whose sum is σ = 24907193625600. Its totient is φ = 1011125846016.

The previous prime is 5465366164417. The next prime is 5465366164451. The reversal of 5465366164440 is 444616635645.

5465366164440 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 36 + 6 + 164 + 440 = 666.

It is a super-2 number, since 2×5465366164440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9216468784 + ... + 9216469376.

It is an arithmetic number, because the mean of its divisors is an integer number (10810413900).

Almost surely, 2^{5465366164440} 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 5465366164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453596812800).

5465366164440 is an abundant number, since it is smaller than the sum of its proper divisors (19441827461160).

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

5465366164440 is a wasteful number, since it uses less digits than its factorization.

5465366164440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 5465366164440 in words is "five trillion, four hundred sixty-five billion, three hundred sixty-six million, one hundred sixty-four thousand, four hundred forty".