1001105473984 has 224 divisors, whose sum is σ = 2526073744896. Its totient is φ = 382290554880.

The previous prime is 1001105473957. The next prime is 1001105473999. The reversal of 1001105473984 is 4893745011001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1001105473984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487629502 + ... + 487631554.

Almost surely, 2^{1001105473984} is an apocalyptic number.

1001105473984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001105473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263036872448).

1001105473984 is an abundant number, since it is smaller than the sum of its proper divisors (1524968270912).

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

1001105473984 is a wasteful number, since it uses less digits than its factorization.

1001105473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 1001105473984 in words is "one trillion, one billion, one hundred five million, four hundred seventy-three thousand, nine hundred eighty-four".