1338125927424 has 528 divisors, whose sum is σ = 4293610732224. Its totient is φ = 367155609600.

The previous prime is 1338125927419. The next prime is 1338125927491. The reversal of 1338125927424 is 4247295218331.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302672734 + ... + 302677154.

It is an arithmetic number, because the mean of its divisors is an integer number (8131838508).

Almost surely, 2^{1338125927424} 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 1338125927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146805366112).

1338125927424 is an abundant number, since it is smaller than the sum of its proper divisors (2955484804800).

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

1338125927424 is a wasteful number, since it uses less digits than its factorization.

1338125927424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4503 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 1338125927424 in words is "one trillion, three hundred thirty-eight billion, one hundred twenty-five million, nine hundred twenty-seven thousand, four hundred twenty-four".