38433082457760 has 192 divisors, whose sum is σ = 130684005607680. Its totient is φ = 9465178849280.

The previous prime is 38433082457719. The next prime is 38433082457767. The reversal of 38433082457760 is 6775428033483.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38433082457694 and 38433082457703.

It is not an unprimeable number, because it can be changed into a prime (38433082457767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59701521 + ... + 60341840.

It is an arithmetic number, because the mean of its divisors is an integer number (680645862540).

Almost surely, 2^{38433082457760} is an apocalyptic number.

38433082457760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38433082457760 is an abundant number, since it is smaller than the sum of its proper divisors (92250923149920).

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

38433082457760 is a wasteful number, since it uses less digits than its factorization.

38433082457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120043431 (or 120043423 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 60.

The spelling of 38433082457760 in words is "thirty-eight trillion, four hundred thirty-three billion, eighty-two million, four hundred fifty-seven thousand, seven hundred sixty".