8838938401920 has 640 divisors, whose sum is σ = 34949137608000. Its totient is φ = 2110782136320.

The previous prime is 8838938401897. The next prime is 8838938401961. The reversal of 8838938401920 is 291048398388.

8838938401920 is a `hidden beast` number, since 88 + 38 + 9 + 38 + 401 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 38090406 + ... + 38321754.

Almost surely, 2^{8838938401920} is an apocalyptic number.

8838938401920 is a gapful number since it is divisible by the number (80) 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 8838938401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474568804000).

8838938401920 is an abundant number, since it is smaller than the sum of its proper divisors (26110199206080).

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

8838938401920 is a wasteful number, since it uses less digits than its factorization.

8838938401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231458 (or 231437 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 8838938401920 in words is "eight trillion, eight hundred thirty-eight billion, nine hundred thirty-eight million, four hundred one thousand, nine hundred twenty".