1038118633040 has 160 divisors (see below), whose sum is σ = 2518305294336. Its totient is φ = 397534832640.

The previous prime is 1038118633021. The next prime is 1038118633081. The reversal of 1038118633040 is 403368118301.

1038118633040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1038118632985 and 1038118633003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371152922 + ... + 371155718.

Almost surely, 2^{1038118633040} is an apocalyptic number.

1038118633040 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 1038118633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259152647168).

1038118633040 is an abundant number, since it is smaller than the sum of its proper divisors (1480186661296).

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

1038118633040 is a wasteful number, since it uses less digits than its factorization.

1038118633040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 1038118633040 in words is "one trillion, thirty-eight billion, one hundred eighteen million, six hundred thirty-three thousand, forty".