5140456231680 has 2304 divisors, whose sum is σ = 23497902489600. Its totient is φ = 1033203548160.

The previous prime is 5140456231679. The next prime is 5140456231693. The reversal of 5140456231680 is 861326540415.

5140456231680 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 4 + 5 + 623 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 255 ways as a sum of consecutive naturals, for example, 19109502586 + ... + 19109502854.

It is an arithmetic number, because the mean of its divisors is an integer number (10198742400).

Almost surely, 2^{5140456231680} 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 5140456231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748951244800).

5140456231680 is an abundant number, since it is smaller than the sum of its proper divisors (18357446257920).

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

5140456231680 is a wasteful number, since it uses less digits than its factorization.

5140456231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5140456231680 in words is "five trillion, one hundred forty billion, four hundred fifty-six million, two hundred thirty-one thousand, six hundred eighty".