10040542413345 has 40 divisors (see below), whose sum is σ = 18052978637760. Its totient is φ = 5338777767840.

The previous prime is 10040542413271. The next prime is 10040542413361. The reversal of 10040542413345 is 54331424504001.

10040542413345 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 542 + 41 + 33 + 45 = 666.

It is not a de Polignac number, because 10040542413345 - 2⁸ = 10040542413089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37315285 + ... + 37583394.

It is an arithmetic number, because the mean of its divisors is an integer number (451324465944).

Almost surely, 2^{10040542413345} is an apocalyptic number.

10040542413345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10040542413345 is a deficient number, since it is larger than the sum of its proper divisors (8012436224415).

10040542413345 is an equidigital number, since it uses as much as digits as its factorization.

10040542413345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74899027 (or 74899018 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10040542413345 its reverse (54331424504001), we get a palindrome (64371966917346).

The spelling of 10040542413345 in words is "ten trillion, forty billion, five hundred forty-two million, four hundred thirteen thousand, three hundred forty-five".