1002613601440 has 192 divisors, whose sum is σ = 2668753059840. Its totient is φ = 352642176000.

The previous prime is 1002613601393. The next prime is 1002613601477. The reversal of 1002613601440 is 441063162001.

It is a junction number, because it is equal to n+sod(n) for n = 1002613601399 and 1002613601408.

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, 145071585 + ... + 145078495.

It is an arithmetic number, because the mean of its divisors is an integer number (13899755520).

Almost surely, 2^{1002613601440} is an apocalyptic number.

1002613601440 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 1002613601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334376529920).

1002613601440 is an abundant number, since it is smaller than the sum of its proper divisors (1666139458400).

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

1002613601440 is a wasteful number, since it uses less digits than its factorization.

1002613601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1002613601440 its reverse (441063162001), we get a palindrome (1443676763441).

The spelling of 1002613601440 in words is "one trillion, two billion, six hundred thirteen million, six hundred one thousand, four hundred forty".