540592592040 has 192 divisors, whose sum is σ = 1793409031440. Its totient is φ = 141184880640.

The previous prime is 540592592017. The next prime is 540592592051. The reversal of 540592592040 is 40295295045.

540592592040 is a `hidden beast` number, since 5 + 4 + 0 + 59 + 2 + 592 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3881040804 + 536711551236 = 62298^2 + 732606^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5063854 + ... + 5169506.

Almost surely, 2^540592592040 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 540592592040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896704515720).

540592592040 is an abundant number, since it is smaller than the sum of its proper divisors (1252816439400).

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

540592592040 is a wasteful number, since it uses less digits than its factorization.

540592592040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105964 (or 105957 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 540592592040 in words is "five hundred forty billion, five hundred ninety-two million, five hundred ninety-two thousand, forty".