540319084096 has 63 divisors (see below), whose sum is σ = 1178670246033. Its totient is φ = 245570181120.

The previous prime is 540319084069. The next prime is 540319084099. The reversal of 540319084096 is 690480913045.

It is a happy number.

The square root of 540319084096 is 735064.

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

It can be written as a sum of positive squares in only one way, i.e., 356504526400 + 183814557696 = 597080^2 + 428736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540319084099) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64681456 + ... + 64689808.

Almost surely, 2^540319084096 is an apocalyptic number.

540319084096 is the 735064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540319084096

540319084096 is an abundant number, since it is smaller than the sum of its proper divisors (638351161937).

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

540319084096 is an frugal number, since it uses more digits than its factorization.

540319084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 540319084096 by its sum of digits (49), we get a square (26475635120704 = 5145448²).

The spelling of 540319084096 in words is "five hundred forty billion, three hundred nineteen million, eighty-four thousand, ninety-six".