1009744541001 has 24 divisors (see below), whose sum is σ = 1740149324640. Its totient is φ = 576996879816.

The previous prime is 1009744540997. The next prime is 1009744541023. The reversal of 1009744541001 is 1001454479001.

1009744541001 is a `hidden beast` number, since 10 + 0 + 97 + 4 + 454 + 100 + 1 = 666.

It is not a de Polignac number, because 1009744541001 - 2² = 1009744540997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009744549001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381610371 + ... + 381613016.

It is an arithmetic number, because the mean of its divisors is an integer number (72506221860).

Almost surely, 2^{1009744541001} is an apocalyptic number.

It is an amenable number.

1009744541001 is a deficient number, since it is larger than the sum of its proper divisors (730404783639).

1009744541001 is an equidigital number, since it uses as much as digits as its factorization.

1009744541001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763223410 (or 763223397 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1009744541001 in words is "one trillion, nine billion, seven hundred forty-four million, five hundred forty-one thousand, one".