540419040144 has 120 divisors (see below), whose sum is σ = 1592385055040. Its totient is φ = 170619934464.

The previous prime is 540419040121. The next prime is 540419040209. The reversal of 540419040144 is 441040914045.

It is a happy number.

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 = 540419040099 and 540419040108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13542429 + ... + 13582275.

Almost surely, 2^540419040144 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 540419040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796192527520).

540419040144 is an abundant number, since it is smaller than the sum of its proper divisors (1051966014896).

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

540419040144 is a wasteful number, since it uses less digits than its factorization.

540419040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44837 (or 44828 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 540419040144 its reverse (441040914045), we get a palindrome (981459954189).

The spelling of 540419040144 in words is "five hundred forty billion, four hundred nineteen million, forty thousand, one hundred forty-four".