1338009644400 has 960 divisors, whose sum is σ = 5288106539520. Its totient is φ = 284704358400.

The previous prime is 1338009644383. The next prime is 1338009644401. The reversal of 1338009644400 is 44469008331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338009644401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333416794 + ... + 333420806.

It is an arithmetic number, because the mean of its divisors is an integer number (5508444312).

Almost surely, 2^{1338009644400} is an apocalyptic number.

1338009644400 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 1338009644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644053269760).

1338009644400 is an abundant number, since it is smaller than the sum of its proper divisors (3950096895120).

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

1338009644400 is a wasteful number, since it uses less digits than its factorization.

1338009644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 1338009644400 in words is "one trillion, three hundred thirty-eight billion, nine million, six hundred forty-four thousand, four hundred".