1540385015742 has 96 divisors (see below), whose sum is σ = 3536352608256. Its totient is φ = 483576508800.

The previous prime is 1540385015731. The next prime is 1540385015747. The reversal of 1540385015742 is 2475105830451.

1540385015742 is a `hidden beast` number, since 1 + 5 + 40 + 38 + 5 + 0 + 1 + 574 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540385015747) 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, 22334403 + ... + 22403265.

It is an arithmetic number, because the mean of its divisors is an integer number (36837006336).

Almost surely, 2^{1540385015742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540385015742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768176304128).

1540385015742 is an abundant number, since it is smaller than the sum of its proper divisors (1995967592514).

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

1540385015742 is a wasteful number, since it uses less digits than its factorization.

1540385015742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69726 (or 69723 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1540385015742 in words is "one trillion, five hundred forty billion, three hundred eighty-five million, fifteen thousand, seven hundred forty-two".