5040534208140 has 144 divisors (see below), whose sum is σ = 15333107549760. Its totient is φ = 1340322439680.

The previous prime is 5040534208123. The next prime is 5040534208163. The reversal of 5040534208140 is 418024350405.

It is a happy number.

5040534208140 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 534 + 2 + 0 + 81 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5040534208095 and 5040534208104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174961617 + ... + 174990423.

It is an arithmetic number, because the mean of its divisors is an integer number (106479913540).

Almost surely, 2^{5040534208140} 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 5040534208140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666553774880).

5040534208140 is an abundant number, since it is smaller than the sum of its proper divisors (10292573341620).

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

5040534208140 is a wasteful number, since it uses less digits than its factorization.

5040534208140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31552 (or 31547 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 5040534208140 its reverse (418024350405), we get a palindrome (5458558558545).

The spelling of 5040534208140 in words is "five trillion, forty billion, five hundred thirty-four million, two hundred eight thousand, one hundred forty".