5400541313440 has 768 divisors, whose sum is σ = 16323068160000. Its totient is φ = 1652947845120.

The previous prime is 5400541313423. The next prime is 5400541313459. The reversal of 5400541313440 is 443131450045.

It is a junction number, because it is equal to n+sod(n) for n = 5400541313396 and 5400541313405.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20076361626 + ... + 20076361894.

It is an arithmetic number, because the mean of its divisors is an integer number (21253995000).

Almost surely, 2^{5400541313440} 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 5400541313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8161534080000).

5400541313440 is an abundant number, since it is smaller than the sum of its proper divisors (10922526846560).

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

5400541313440 is a wasteful number, since it uses less digits than its factorization.

5400541313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 5400541313440 its reverse (443131450045), we get a palindrome (5843672763485).

The spelling of 5400541313440 in words is "five trillion, four hundred billion, five hundred forty-one million, three hundred thirteen thousand, four hundred forty".