1001010677744 has 80 divisors (see below), whose sum is σ = 2496026720256. Its totient is φ = 377423366400.

The previous prime is 1001010677729. The next prime is 1001010677767. The reversal of 1001010677744 is 4477760101001.

It is a junction number, because it is equal to n+sod(n) for n = 1001010677698 and 1001010677707.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13066787 + ... + 13143170.

Almost surely, 2^{1001010677744} is an apocalyptic number.

1001010677744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001010677744 is an abundant number, since it is smaller than the sum of its proper divisors (1495016042512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001010677744 is a wasteful number, since it uses less digits than its factorization.

1001010677744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26210014 (or 26210008 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

Adding to 1001010677744 its reverse (4477760101001), we get a palindrome (5478770778745).

The spelling of 1001010677744 in words is "one trillion, one billion, ten million, six hundred seventy-seven thousand, seven hundred forty-four".