1002034101440 has 112 divisors (see below), whose sum is σ = 2410790874624. Its totient is φ = 396686438400.

The previous prime is 1002034101433. The next prime is 1002034101443. The reversal of 1002034101440 is 441014302001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1002034101443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11999030 + ... + 12082250.

Almost surely, 2^{1002034101440} is an apocalyptic number.

1002034101440 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 1002034101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205395437312).

1002034101440 is an abundant number, since it is smaller than the sum of its proper divisors (1408756773184).

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

1002034101440 is a wasteful number, since it uses less digits than its factorization.

1002034101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83626 (or 83616 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1002034101440 its reverse (441014302001), we get a palindrome (1443048403441).

The spelling of 1002034101440 in words is "one trillion, two billion, thirty-four million, one hundred one thousand, four hundred forty".