1001304448704 has 224 divisors, whose sum is σ = 3427648151040. Its totient is φ = 280688937984.

The previous prime is 1001304448699. The next prime is 1001304448709. The reversal of 1001304448704 is 4078444031001.

It is a happy number.

1001304448704 is a `hidden beast` number, since 1 + 0 + 0 + 130 + 44 + 487 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1001304448699) and next prime (1001304448709).

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

It is a super-2 number, since 2×1001304448704² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1001304448709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139854 + ... + 1422029.

Almost surely, 2^{1001304448704} is an apocalyptic number.

1001304448704 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 1001304448704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713824075520).

1001304448704 is an abundant number, since it is smaller than the sum of its proper divisors (2426343702336).

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

1001304448704 is a wasteful number, since it uses less digits than its factorization.

1001304448704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561964 (or 1561948 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 1001304448704 its reverse (4078444031001), we get a palindrome (5079748479705).

The spelling of 1001304448704 in words is "one trillion, one billion, three hundred four million, four hundred forty-eight thousand, seven hundred four".