1338754537120 has 576 divisors, whose sum is σ = 4280863426560. Its totient is φ = 384188313600.

The previous prime is 1338754537103. The next prime is 1338754537123. The reversal of 1338754537120 is 217354578331.

It is not an unprimeable number, because it can be changed into a prime (1338754537123) 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 95 ways as a sum of consecutive naturals, for example, 1313791971 + ... + 1313792989.

It is an arithmetic number, because the mean of its divisors is an integer number (7432054560).

Almost surely, 2^{1338754537120} is an apocalyptic number.

1338754537120 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 1338754537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140431713280).

1338754537120 is an abundant number, since it is smaller than the sum of its proper divisors (2942108889440).

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

1338754537120 is a wasteful number, since it uses less digits than its factorization.

1338754537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 1338754537120 in words is "one trillion, three hundred thirty-eight billion, seven hundred fifty-four million, five hundred thirty-seven thousand, one hundred twenty".