38533052717940 has 288 divisors, whose sum is σ = 120436180970112. Its totient is φ = 9196303564800.

The previous prime is 38533052717911. The next prime is 38533052717941. The reversal of 38533052717940 is 4971725033583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38533052717941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825431400 + ... + 825478080.

It is an arithmetic number, because the mean of its divisors is an integer number (418181183924).

Almost surely, 2^{38533052717940} is an apocalyptic number.

38533052717940 is a gapful number since it is divisible by the number (30) 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 38533052717940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60218090485056).

38533052717940 is an abundant number, since it is smaller than the sum of its proper divisors (81903128252172).

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

38533052717940 is a wasteful number, since it uses less digits than its factorization.

38533052717940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48479 (or 48466 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 38533052717940 in words is "thirty-eight trillion, five hundred thirty-three billion, fifty-two million, seven hundred seventeen thousand, nine hundred forty".