5140641648450 has 576 divisors, whose sum is σ = 17015853772800. Its totient is φ = 1014197184000.

The previous prime is 5140641648407. The next prime is 5140641648473. The reversal of 5140641648450 is 548461460415.

It is a self number, because there is not a number n which added to its sum of digits gives 5140641648450.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132817201 + ... + 132855899.

It is an arithmetic number, because the mean of its divisors is an integer number (29541412800).

Almost surely, 2^{5140641648450} is an apocalyptic number.

5140641648450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140641648450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507926886400).

5140641648450 is an abundant number, since it is smaller than the sum of its proper divisors (11875212124350).

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

5140641648450 is a wasteful number, since it uses less digits than its factorization.

5140641648450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38823 (or 38811 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 5140641648450 in words is "five trillion, one hundred forty billion, six hundred forty-one million, six hundred forty-eight thousand, four hundred fifty".