1540517209938 has 24 divisors (see below), whose sum is σ = 3814614043968. Its totient is φ = 440147774232.

The previous prime is 1540517209867. The next prime is 1540517209939. The reversal of 1540517209938 is 8399027150451.

It is a happy number.

1540517209938 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 517 + 2 + 0 + 99 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (1540517209939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6113163406 + ... + 6113163657.

It is an arithmetic number, because the mean of its divisors is an integer number (158942251832).

Almost surely, 2^{1540517209938} is an apocalyptic number.

1540517209938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1540517209938 is an abundant number, since it is smaller than the sum of its proper divisors (2274096834030).

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

1540517209938 is a wasteful number, since it uses less digits than its factorization.

1540517209938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12226327078 (or 12226327075 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1540517209938 in words is "one trillion, five hundred forty billion, five hundred seventeen million, two hundred nine thousand, nine hundred thirty-eight".