5340513305440 has 96 divisors (see below), whose sum is σ = 12678232202496. Its totient is φ = 2125846464000.

The previous prime is 5340513305431. The next prime is 5340513305441. The reversal of 5340513305440 is 445033150435.

It is a self number, because there is not a number n which added to its sum of digits gives 5340513305440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340513305441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46648909 + ... + 46763251.

It is an arithmetic number, because the mean of its divisors is an integer number (132064918776).

Almost surely, 2^{5340513305440} 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 5340513305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339116101248).

5340513305440 is an abundant number, since it is smaller than the sum of its proper divisors (7337718897056).

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

5340513305440 is a wasteful number, since it uses less digits than its factorization.

5340513305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115772 (or 115764 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 5340513305440 its reverse (445033150435), we get a palindrome (5785546455875).

The spelling of 5340513305440 in words is "five trillion, three hundred forty billion, five hundred thirteen million, three hundred five thousand, four hundred forty".