1011633640041 has 8 divisors (see below), whose sum is σ = 1348931708224. Its totient is φ = 674378999280.

The previous prime is 1011633640027. The next prime is 1011633640093. The reversal of 1011633640041 is 1400463361101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1011633640041 - 2⁶ = 1011633639977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011633639990 and 1011633640008.

It is not an unprimeable number, because it can be changed into a prime (1011633640441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10802461 + ... + 10895706.

It is an arithmetic number, because the mean of its divisors is an integer number (168616463528).

Almost surely, 2^{1011633640041} is an apocalyptic number.

It is an amenable number.

1011633640041 is a deficient number, since it is larger than the sum of its proper divisors (337298068183).

1011633640041 is a wasteful number, since it uses less digits than its factorization.

1011633640041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21713711.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 1011633640041 in words is "one trillion, eleven billion, six hundred thirty-three million, six hundred forty thousand, forty-one".