1001441664 has 256 divisors, whose sum is σ = 3162816000. Its totient is φ = 311040000.

The previous prime is 1001441657. The next prime is 1001441743. The reversal of 1001441664 is 4661441001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6631989 + ... + 6632139.

It is an arithmetic number, because the mean of its divisors is an integer number (12354750).

Almost surely, 2^1001441664 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 1001441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581408000).

1001441664 is an abundant number, since it is smaller than the sum of its proper divisors (2161374336).

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

1001441664 is a wasteful number, since it uses less digits than its factorization.

1001441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1001441664 is about 31645.5631013259. The cubic root of 1001441664 is about 1000.4803239187.

Adding to 1001441664 its reverse (4661441001), we get a palindrome (5662882665).

The spelling of 1001441664 in words is "one billion, one million, four hundred forty-one thousand, six hundred sixty-four".