9938990355840 has 3072 divisors, whose sum is σ = 46930980096000. Its totient is φ = 1950396973056.

The previous prime is 9938990355829. The next prime is 9938990355907. The reversal of 9938990355840 is 485530998399.

It is a happy number.

9938990355840 is a `hidden beast` number, since 9 + 9 + 3 + 8 + 9 + 9 + 0 + 35 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26224248771 + ... + 26224249149.

It is an arithmetic number, because the mean of its divisors is an integer number (15277011750).

Almost surely, 2^{9938990355840} is an apocalyptic number.

9938990355840 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 9938990355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465490048000).

9938990355840 is an abundant number, since it is smaller than the sum of its proper divisors (36991989740160).

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

9938990355840 is a wasteful number, since it uses less digits than its factorization.

9938990355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 9938990355840 in words is "nine trillion, nine hundred thirty-eight billion, nine hundred ninety million, three hundred fifty-five thousand, eight hundred forty".