1540084617018 has 96 divisors (see below), whose sum is σ = 3478463239680. Its totient is φ = 492052609440.

The previous prime is 1540084617017. The next prime is 1540084617059. The reversal of 1540084617018 is 8107164800451.

1540084617018 is a `hidden beast` number, since 1 + 540 + 0 + 84 + 6 + 17 + 0 + 18 = 666.

It is not an unprimeable number, because it can be changed into a prime (1540084617011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26045755 + ... + 26104817.

It is an arithmetic number, because the mean of its divisors is an integer number (36233992080).

Almost surely, 2^{1540084617018} is an apocalyptic number.

1540084617018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1540084617018 is an abundant number, since it is smaller than the sum of its proper divisors (1938378622662).

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

1540084617018 is a wasteful number, since it uses less digits than its factorization.

1540084617018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59744 (or 59741 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1540084617018 in words is "one trillion, five hundred forty billion, eighty-four million, six hundred seventeen thousand, eighteen".