938112769440 has 1728 divisors, whose sum is σ = 4240352083968. Its totient is φ = 186549350400.

The previous prime is 938112769211. The next prime is 938112769441. The reversal of 938112769440 is 44967211839.

It is not an unprimeable number, because it can be changed into a prime (938112769441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3055741767 + ... + 3055742073.

It is an arithmetic number, because the mean of its divisors is an integer number (2453907456).

Almost surely, 2^938112769440 is an apocalyptic number.

938112769440 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 938112769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120176041984).

938112769440 is an abundant number, since it is smaller than the sum of its proper divisors (3302239314528).

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

938112769440 is a wasteful number, since it uses less digits than its factorization.

938112769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 938112769440 in words is "nine hundred thirty-eight billion, one hundred twelve million, seven hundred sixty-nine thousand, four hundred forty".