1038395797632 has 128 divisors (see below), whose sum is σ = 3066565291200. Its totient is φ = 345922375680.

The previous prime is 1038395797627. The next prime is 1038395797633. The reversal of 1038395797632 is 2367975938301.

1038395797632 is a `hidden beast` number, since 1 + 0 + 383 + 95 + 79 + 76 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1038395797632.

It is not an unprimeable number, because it can be changed into a prime (1038395797633) 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 15 ways as a sum of consecutive naturals, for example, 5671032 + ... + 5851272.

Almost surely, 2^{1038395797632} is an apocalyptic number.

1038395797632 is a gapful number since it is divisible by the number (12) 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 1038395797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533282645600).

1038395797632 is an abundant number, since it is smaller than the sum of its proper divisors (2028169493568).

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

1038395797632 is a wasteful number, since it uses less digits than its factorization.

1038395797632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181931 (or 181913 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 1038395797632 in words is "one trillion, thirty-eight billion, three hundred ninety-five million, seven hundred ninety-seven thousand, six hundred thirty-two".