1338375232320 has 448 divisors, whose sum is σ = 5049243648000. Its totient is φ = 293872803840.

The previous prime is 1338375232301. The next prime is 1338375232373. The reversal of 1338375232320 is 232325738331.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1338375232320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38763865 + ... + 38798375.

Almost surely, 2^{1338375232320} is an apocalyptic number.

1338375232320 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 1338375232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524621824000).

1338375232320 is an abundant number, since it is smaller than the sum of its proper divisors (3710868415680).

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

1338375232320 is a wasteful number, since it uses less digits than its factorization.

1338375232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34766 (or 34756 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 1338375232320 in words is "one trillion, three hundred thirty-eight billion, three hundred seventy-five million, two hundred thirty-two thousand, three hundred twenty".