5178063421440 has 2048 divisors, whose sum is σ = 23887035648000. Its totient is φ = 1033484894208.

The previous prime is 5178063421429. The next prime is 5178063421457. The reversal of 5178063421440 is 441243608715.

5178063421440 is a `hidden beast` number, since 5 + 1 + 7 + 8 + 0 + 634 + 2 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7648542382 + ... + 7648543058.

It is an arithmetic number, because the mean of its divisors is an integer number (11663591625).

Almost surely, 2^{5178063421440} 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 5178063421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943517824000).

5178063421440 is an abundant number, since it is smaller than the sum of its proper divisors (18708972226560).

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

5178063421440 is a wasteful number, since it uses less digits than its factorization.

5178063421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5178063421440 in words is "five trillion, one hundred seventy-eight billion, sixty-three million, four hundred twenty-one thousand, four hundred forty".