540320912998416 has 225 divisors, whose sum is σ = 1718966880336783. Its totient is φ = 163730820623040.

The previous prime is 540320912998411. The next prime is 540320912998483. The reversal of 540320912998416 is 614899219023045.

The square root of 540320912998416 is 23244804.

It is a perfect power (a square), and thus also a powerful number.

540320912998416 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 2 + 0 + 9 + 129 + 98 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (540320912998411) 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 44 ways as a sum of consecutive naturals, for example, 9204913035 + ... + 9204971733.

Almost surely, 2^{540320912998416} is an apocalyptic number.

540320912998416 is the 23244804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540320912998416

540320912998416 is an abundant number, since it is smaller than the sum of its proper divisors (1178645967338367).

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

540320912998416 is an frugal number, since it uses more digits than its factorization.

540320912998416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117440 (or 58715 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 540320912998416 in words is "five hundred forty trillion, three hundred twenty billion, nine hundred twelve million, nine hundred ninety-eight thousand, four hundred sixteen".