1338200302144 has 56 divisors (see below), whose sum is σ = 2813202047448. Its totient is φ = 629404139520.

The previous prime is 1338200302133. The next prime is 1338200302157. The reversal of 1338200302144 is 4412030028331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 171800302144 + 1166400000000 = 414488^2 + 1080000^2 .

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 7 ways as a sum of consecutive naturals, for example, 1709484 + ... + 2366164.

Almost surely, 2^{1338200302144} 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 1338200302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406601023724).

1338200302144 is an abundant number, since it is smaller than the sum of its proper divisors (1475001745304).

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

1338200302144 is a wasteful number, since it uses less digits than its factorization.

1338200302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658583 (or 658573 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 1338200302144 in words is "one trillion, three hundred thirty-eight billion, two hundred million, three hundred two thousand, one hundred forty-four".