540345454240 has 96 divisors (see below), whose sum is σ = 1351914520320. Its totient is φ = 203385606144.

The previous prime is 540345454193. The next prime is 540345454241. The reversal of 540345454240 is 42454543045.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 540345454193 and 540345454202.

It is not an unprimeable number, because it can be changed into a prime (540345454241) 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, 17237301 + ... + 17268619.

It is an arithmetic number, because the mean of its divisors is an integer number (14082442920).

Almost surely, 2^540345454240 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 540345454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675957260160).

540345454240 is an abundant number, since it is smaller than the sum of its proper divisors (811569066080).

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

540345454240 is a wasteful number, since it uses less digits than its factorization.

540345454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37694 (or 37686 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 540345454240 its reverse (42454543045), we get a palindrome (582799997285).

The spelling of 540345454240 in words is "five hundred forty billion, three hundred forty-five million, four hundred fifty-four thousand, two hundred forty".