540005000440000 has 280 divisors, whose sum is σ = 1399228326983520. Its totient is φ = 206318948352000.

The previous prime is 540005000439997. The next prime is 540005000440021. The reversal of 540005000440000 is 44000500045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 651866064 + ... + 652693936.

Almost surely, 2^{540005000440000} is an apocalyptic number.

540005000440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540005000440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699614163491760).

540005000440000 is an abundant number, since it is smaller than the sum of its proper divisors (859223326543520).

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

540005000440000 is an equidigital number, since it uses as much as digits as its factorization.

540005000440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828637 (or 828612 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 540005000440000 its reverse (44000500045), we get a palindrome (540049000940045).

The spelling of 540005000440000 in words is "five hundred forty trillion, five billion, four hundred forty thousand".