1002359144160 has 576 divisors, whose sum is σ = 3844683408384. Its totient is φ = 235668787200.

The previous prime is 1002359144117. The next prime is 1002359144161. The reversal of 1002359144160 is 614419532001.

It is a happy number.

1002359144160 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 591 + 4 + 4 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002359144161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 193989897 + ... + 193995063.

It is an arithmetic number, because the mean of its divisors is an integer number (6674797584).

Almost surely, 2^{1002359144160} is an apocalyptic number.

1002359144160 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 1002359144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922341704192).

1002359144160 is an abundant number, since it is smaller than the sum of its proper divisors (2842324264224).

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

1002359144160 is a wasteful number, since it uses less digits than its factorization.

1002359144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1002359144160 in words is "one trillion, two billion, three hundred fifty-nine million, one hundred forty-four thousand, one hundred sixty".