1010441404011 has 48 divisors (see below), whose sum is σ = 1522753903872. Its totient is φ = 594594000000.

The previous prime is 1010441403911. The next prime is 1010441404079. The reversal of 1010441404011 is 1104041440101.

It is not a de Polignac number, because 1010441404011 - 2⁷ = 1010441403883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010441404081) 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 47 ways as a sum of consecutive naturals, for example, 44895261 + ... + 44917761.

It is an arithmetic number, because the mean of its divisors is an integer number (31724039664).

Almost surely, 2^{1010441404011} is an apocalyptic number.

1010441404011 is a deficient number, since it is larger than the sum of its proper divisors (512312499861).

1010441404011 is a wasteful number, since it uses less digits than its factorization.

1010441404011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26404 (or 26391 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1010441404011 its reverse (1104041440101), we get a palindrome (2114482844112).

The spelling of 1010441404011 in words is "one trillion, ten billion, four hundred forty-one million, four hundred four thousand, eleven".