1002338238144 has 224 divisors, whose sum is σ = 2835441745920. Its totient is φ = 311397875712.

The previous prime is 1002338238103. The next prime is 1002338238149. The reversal of 1002338238144 is 4418328332001.

It is not an unprimeable number, because it can be changed into a prime (1002338238149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 255761817 + ... + 255765735.

It is an arithmetic number, because the mean of its divisors is an integer number (12658222080).

Almost surely, 2^{1002338238144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002338238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417720872960).

1002338238144 is an abundant number, since it is smaller than the sum of its proper divisors (1833103507776).

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

1002338238144 is a wasteful number, since it uses less digits than its factorization.

1002338238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 1002338238144 in words is "one trillion, two billion, three hundred thirty-eight million, two hundred thirty-eight thousand, one hundred forty-four".