540239922432 has 1440 divisors, whose sum is σ = 2051404185600. Its totient is φ = 137952460800.

The previous prime is 540239922421. The next prime is 540239922457. The reversal of 540239922432 is 234229932045.

540239922432 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 399 + 224 + 32 = 666.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 6070111444 + ... + 6070111532.

It is an arithmetic number, because the mean of its divisors is an integer number (1424586240).

Almost surely, 2^540239922432 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 540239922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025702092800).

540239922432 is an abundant number, since it is smaller than the sum of its proper divisors (1511164263168).

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

540239922432 is a wasteful number, since it uses less digits than its factorization.

540239922432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 540239922432 in words is "five hundred forty billion, two hundred thirty-nine million, nine hundred twenty-two thousand, four hundred thirty-two".