1002271288224 has 48 divisors (see below), whose sum is σ = 2631093530688. Its totient is φ = 334073743872.

The previous prime is 1002271288211. The next prime is 1002271288241. The reversal of 1002271288224 is 4228821722001.

It is a Cunningham number, because it is equal to 1001135²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 1751989 + ... + 2252555.

It is an arithmetic number, because the mean of its divisors is an integer number (54814448556).

Almost surely, 2^{1002271288224} is an apocalyptic number.

It is an amenable number.

1002271288224 is an abundant number, since it is smaller than the sum of its proper divisors (1628822242464).

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

1002271288224 is a wasteful number, since it uses less digits than its factorization.

1002271288224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521437 (or 521429 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 1002271288224 in words is "one trillion, two billion, two hundred seventy-one million, two hundred eighty-eight thousand, two hundred twenty-four".