1001304944640 has 2912 divisors, whose sum is σ = 4909265496576. Its totient is φ = 189191946240.

The previous prime is 1001304944599. The next prime is 1001304944641. The reversal of 1001304944640 is 464494031001.

It is a happy number.

1001304944640 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 0 + 4 + 9 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a super-2 number, since 2×1001304944640² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001304944595 and 1001304944604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001304944641) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14944849887 + ... + 14944849953.

Almost surely, 2^{1001304944640} is an apocalyptic number.

1001304944640 is a gapful number since it is divisible by the number (10) 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 1001304944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454632748288).

1001304944640 is an abundant number, since it is smaller than the sum of its proper divisors (3907960551936).

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

1001304944640 is an equidigital number, since it uses as much as digits as its factorization.

1001304944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1001304944640 its reverse (464494031001), we get a palindrome (1465798975641).

The spelling of 1001304944640 in words is "one trillion, one billion, three hundred four million, nine hundred forty-four thousand, six hundred forty".