1002601316640 has 576 divisors, whose sum is σ = 4011878989440. Its totient is φ = 208120872960.

The previous prime is 1002601316617. The next prime is 1002601316657. The reversal of 1002601316640 is 466131062001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1002601316598 and 1002601316607.

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 95 ways as a sum of consecutive naturals, for example, 484581526 + ... + 484583594.

It is an arithmetic number, because the mean of its divisors is an integer number (6965067690).

Almost surely, 2^{1002601316640} is an apocalyptic number.

1002601316640 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 1002601316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005939494720).

1002601316640 is an abundant number, since it is smaller than the sum of its proper divisors (3009277672800).

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

1002601316640 is a wasteful number, since it uses less digits than its factorization.

1002601316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 1002601316640 its reverse (466131062001), we get a palindrome (1468732378641).

The spelling of 1002601316640 in words is "one trillion, two billion, six hundred one million, three hundred sixteen thousand, six hundred forty".