540415381185 has 12 divisors (see below), whose sum is σ = 936719994132. Its totient is φ = 288221536608.

The previous prime is 540415381157. The next prime is 540415381199. The reversal of 540415381185 is 581183514045.

540415381185 is a `hidden beast` number, since 5 + 404 + 153 + 8 + 11 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117695652624 + 422719728561 = 343068^2 + 650169^2 .

It is not a de Polignac number, because 540415381185 - 2¹¹ = 540415379137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 12009230693 = 540415381185 / (5 + 4 + 0 + 4 + 1 + 5 + 3 + 8 + 1 + 1 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 540415381185.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6004615302 + ... + 6004615391.

It is an arithmetic number, because the mean of its divisors is an integer number (78059999511).

Almost surely, 2^540415381185 is an apocalyptic number.

It is an amenable number.

540415381185 is a deficient number, since it is larger than the sum of its proper divisors (396304612947).

540415381185 is a wasteful number, since it uses less digits than its factorization.

540415381185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009230704 (or 12009230701 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

It can be divided in two parts, 540415 and 381185, that added together give a square (921600 = 960²).

The spelling of 540415381185 in words is "five hundred forty billion, four hundred fifteen million, three hundred eighty-one thousand, one hundred eighty-five".