540966140352 has 448 divisors, whose sum is σ = 1787673945600. Its totient is φ = 158973788160.

The previous prime is 540966140269. The next prime is 540966140353. The reversal of 540966140352 is 253041669045.

540966140352 is a `hidden beast` number, since 54 + 0 + 96 + 61 + 403 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 540966140298 and 540966140307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540966140353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248262399 + ... + 248264577.

Almost surely, 2^540966140352 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 540966140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893836972800).

540966140352 is an abundant number, since it is smaller than the sum of its proper divisors (1246707805248).

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

540966140352 is a wasteful number, since it uses less digits than its factorization.

540966140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 540966140352 in words is "five hundred forty billion, nine hundred sixty-six million, one hundred forty thousand, three hundred fifty-two".