5411313345040 has 80 divisors (see below), whose sum is σ = 12730775468400. Its totient is φ = 2138916243456.

The previous prime is 5411313344989. The next prime is 5411313345043. The reversal of 5411313345040 is 405433131145.

It can be written as a sum of positive squares in 8 ways, for example, as 4962920704 + 5406350424336 = 70448^2 + 2325156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5411313344987 and 5411313345005.

It is not an unprimeable number, because it can be changed into a prime (5411313345043) 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, 2420706 + ... + 4084414.

It is an arithmetic number, because the mean of its divisors is an integer number (159134693355).

Almost surely, 2^{5411313345040} 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 5411313345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365387734200).

5411313345040 is an abundant number, since it is smaller than the sum of its proper divisors (7319462123360).

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

5411313345040 is a wasteful number, since it uses less digits than its factorization.

5411313345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664204 (or 1664198 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 5411313345040 its reverse (405433131145), we get a palindrome (5816746476185).

The spelling of 5411313345040 in words is "five trillion, four hundred eleven billion, three hundred thirteen million, three hundred forty-five thousand, forty".