5140943824896 has 1536 divisors, whose sum is σ = 18748993536000. Its totient is φ = 1371694694400.

The previous prime is 5140943824873. The next prime is 5140943824963. The reversal of 5140943824896 is 6984283490415.

5140943824896 is a `hidden beast` number, since 5 + 1 + 40 + 94 + 382 + 48 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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, 26915936161 + ... + 26915936351.

It is an arithmetic number, because the mean of its divisors is an integer number (12206376000).

Almost surely, 2^{5140943824896} 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 5140943824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374496768000).

5140943824896 is an abundant number, since it is smaller than the sum of its proper divisors (13608049711104).

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

5140943824896 is a wasteful number, since it uses less digits than its factorization.

5140943824896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 5140943824896 in words is "five trillion, one hundred forty billion, nine hundred forty-three million, eight hundred twenty-four thousand, eight hundred ninety-six".