540262754304 has 1152 divisors, whose sum is σ = 1919067171840. Its totient is φ = 133772083200.

The previous prime is 540262754303. The next prime is 540262754329. The reversal of 540262754304 is 403457262045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (540262754303) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7400859612 + ... + 7400859684.

It is an arithmetic number, because the mean of its divisors is an integer number (1665856920).

Almost surely, 2^540262754304 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 540262754304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959533585920).

540262754304 is an abundant number, since it is smaller than the sum of its proper divisors (1378804417536).

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

540262754304 is a wasteful number, since it uses less digits than its factorization.

540262754304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 540262754304 in words is "five hundred forty billion, two hundred sixty-two million, seven hundred fifty-four thousand, three hundred four".