1038235742208 has 624 divisors, whose sum is σ = 3623897605120. Its totient is φ = 279774756864.

The previous prime is 1038235742207. The next prime is 1038235742251. The reversal of 1038235742208 is 8022475328301.

1038235742208 is a `hidden beast` number, since 1 + 0 + 38 + 23 + 574 + 2 + 20 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1038235742207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799368416 + ... + 1799368992.

Almost surely, 2^{1038235742208} is an apocalyptic number.

1038235742208 is a gapful number since it is divisible by the number (18) 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 1038235742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811948802560).

1038235742208 is an abundant number, since it is smaller than the sum of its proper divisors (2585661862912).

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

1038235742208 is a wasteful number, since it uses less digits than its factorization.

1038235742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1038235742208 in words is "one trillion, thirty-eight billion, two hundred thirty-five million, seven hundred forty-two thousand, two hundred eight".