1338257389000 has 512 divisors, whose sum is σ = 3714323558400. Its totient is φ = 441921484800.

The previous prime is 1338257388991. The next prime is 1338257389003. The reversal of 1338257389000 is 9837528331.

It is not an unprimeable number, because it can be changed into a prime (1338257389003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5895406887 + ... + 5895407113.

It is an arithmetic number, because the mean of its divisors is an integer number (7254538200).

Almost surely, 2^{1338257389000} is an apocalyptic number.

1338257389000 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 1338257389000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857161779200).

1338257389000 is an abundant number, since it is smaller than the sum of its proper divisors (2376066169400).

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

1338257389000 is a wasteful number, since it uses less digits than its factorization.

1338257389000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 1338257389000 in words is "one trillion, three hundred thirty-eight billion, two hundred fifty-seven million, three hundred eighty-nine thousand".