540817255440 has 800 divisors, whose sum is σ = 2381646136320. Its totient is φ = 110466892800.

The previous prime is 540817255421. The next prime is 540817255441. The reversal of 540817255440 is 44552718045.

540817255440 is a `hidden beast` number, since 5 + 4 + 0 + 81 + 7 + 25 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (540817255441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29429455 + ... + 29447825.

Almost surely, 2^540817255440 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 540817255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190823068160).

540817255440 is an abundant number, since it is smaller than the sum of its proper divisors (1840828880880).

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

540817255440 is a wasteful number, since it uses less digits than its factorization.

540817255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18473 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 540817255440 in words is "five hundred forty billion, eight hundred seventeen million, two hundred fifty-five thousand, four hundred forty".