5466776365440 has 2304 divisors, whose sum is σ = 23038965069120. Its totient is φ = 1228027723776.

The previous prime is 5466776365387. The next prime is 5466776365471. The reversal of 5466776365440 is 445636776645.

5466776365440 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 77 + 63 + 65 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 39903477052 + ... + 39903477188.

Almost surely, 2^{5466776365440} 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 5466776365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519482534560).

5466776365440 is an abundant number, since it is smaller than the sum of its proper divisors (17572188703680).

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

5466776365440 is a wasteful number, since it uses less digits than its factorization.

5466776365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 5466776365440 in words is "five trillion, four hundred sixty-six billion, seven hundred seventy-six million, three hundred sixty-five thousand, four hundred forty".