540904309312 has 112 divisors (see below), whose sum is σ = 1126135245312. Its totient is φ = 257484165120.

The previous prime is 540904309277. The next prime is 540904309417. The reversal of 540904309312 is 213903409045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241797858 + ... + 241800094.

It is an arithmetic number, because the mean of its divisors is an integer number (10054778976).

Almost surely, 2^540904309312 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 540904309312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563067622656).

540904309312 is an abundant number, since it is smaller than the sum of its proper divisors (585230936000).

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

540904309312 is a wasteful number, since it uses less digits than its factorization.

540904309312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 540904309312 in words is "five hundred forty billion, nine hundred four million, three hundred nine thousand, three hundred twelve".