1007041040001 has 24 divisors (see below), whose sum is σ = 1456082147520. Its totient is φ = 670683743136.

The previous prime is 1007041039997. The next prime is 1007041040011. The reversal of 1007041040001 is 1000401407001.

It is not a de Polignac number, because 1007041040001 - 2² = 1007041039997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007041040011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63300090 + ... + 63315996.

It is an arithmetic number, because the mean of its divisors is an integer number (60670089480).

Almost surely, 2^{1007041040001} is an apocalyptic number.

It is an amenable number.

1007041040001 is a deficient number, since it is larger than the sum of its proper divisors (449041107519).

1007041040001 is a wasteful number, since it uses less digits than its factorization.

1007041040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22565 (or 22562 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 1007041040001 its reverse (1000401407001), we get a palindrome (2007442447002).

The spelling of 1007041040001 in words is "one trillion, seven billion, forty-one million, forty thousand, one".