1540074013540 has 48 divisors (see below), whose sum is σ = 3251401638912. Its totient is φ = 612749627136.

The previous prime is 1540074013529. The next prime is 1540074013591. The reversal of 1540074013540 is 453104700451.

It is a junction number, because it is equal to n+sod(n) for n = 1540074013496 and 1540074013505.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4778944 + ... + 5091016.

It is an arithmetic number, because the mean of its divisors is an integer number (67737534144).

Almost surely, 2^{1540074013540} is an apocalyptic number.

1540074013540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540074013540 is an abundant number, since it is smaller than the sum of its proper divisors (1711327625372).

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

1540074013540 is a wasteful number, since it uses less digits than its factorization.

1540074013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313396 (or 313394 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

Adding to 1540074013540 its reverse (453104700451), we get a palindrome (1993178713991).

The spelling of 1540074013540 in words is "one trillion, five hundred forty billion, seventy-four million, thirteen thousand, five hundred forty".