540339907904256 has 288 divisors, whose sum is σ = 1457614111113216. Its totient is φ = 177685885440000.

The previous prime is 540339907904239. The next prime is 540339907904257. The reversal of 540339907904256 is 652409709933045.

It is not an unprimeable number, because it can be changed into a prime (540339907904257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23687679091 + ... + 23687701901.

It is an arithmetic number, because the mean of its divisors is an integer number (5061160108032).

Almost surely, 2^{540339907904256} 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 540339907904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728807055556608).

540339907904256 is an abundant number, since it is smaller than the sum of its proper divisors (917274203208960).

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

540339907904256 is a wasteful number, since it uses less digits than its factorization.

540339907904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24319 (or 24305 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 66.

The spelling of 540339907904256 in words is "five hundred forty trillion, three hundred thirty-nine billion, nine hundred seven million, nine hundred four thousand, two hundred fifty-six".