938120040 has 192 divisors, whose sum is σ = 3582109440. Its totient is φ = 209917440.

The previous prime is 938119999. The next prime is 938120069. The reversal of 938120040 is 40021839.

It is a junction number, because it is equal to n+sod(n) for n = 938119986 and 938120013.

It is an unprimeable number.

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, 42369 + ... + 60591.

It is an arithmetic number, because the mean of its divisors is an integer number (18656820).

Almost surely, 2^938120040 is an apocalyptic number.

938120040 is a gapful number since it is divisible by the number (90) 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 938120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791054720).

938120040 is an abundant number, since it is smaller than the sum of its proper divisors (2643989400).

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

938120040 is a wasteful number, since it uses less digits than its factorization.

938120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18264 (or 18257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 938120040 is about 30628.7453220010. The cubic root of 938120040 is about 978.9326293672.

Adding to 938120040 its reverse (40021839), we get a palindrome (978141879).

The spelling of 938120040 in words is "nine hundred thirty-eight million, one hundred twenty thousand, forty".