5140384640 has 128 divisors (see below), whose sum is σ = 13101696000. Its totient is φ = 1922918400.

The previous prime is 5140384637. The next prime is 5140384651. The reversal of 5140384640 is 464830415.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5140384640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957965 + ... + 963315.

It is an arithmetic number, because the mean of its divisors is an integer number (102357000).

Almost surely, 2^5140384640 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 5140384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550848000).

5140384640 is an abundant number, since it is smaller than the sum of its proper divisors (7961311360).

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

5140384640 is a wasteful number, since it uses less digits than its factorization.

5140384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 5140384640 is about 71696.4757850761. The cubic root of 5140384640 is about 1725.8320864155.

The spelling of 5140384640 in words is "five billion, one hundred forty million, three hundred eighty-four thousand, six hundred forty".