1001275649424 has 160 divisors (see below), whose sum is σ = 3001781207040. Its totient is φ = 318950172288.

The previous prime is 1001275649419. The next prime is 1001275649509. The reversal of 1001275649424 is 4249465721001.

1001275649424 is a `hidden beast` number, since 10 + 0 + 127 + 5 + 6 + 494 + 24 = 666.

It is a super-2 number, since 2×1001275649424² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001275649424.

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 31 ways as a sum of consecutive naturals, for example, 10754079 + ... + 10846785.

It is an arithmetic number, because the mean of its divisors is an integer number (18761132544).

Almost surely, 2^{1001275649424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001275649424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500890603520).

1001275649424 is an abundant number, since it is smaller than the sum of its proper divisors (2000505557616).

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

1001275649424 is a wasteful number, since it uses less digits than its factorization.

1001275649424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93834 (or 93822 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1001275649424 in words is "one trillion, one billion, two hundred seventy-five million, six hundred forty-nine thousand, four hundred twenty-four".