8381409100900 has 108 divisors (see below), whose sum is σ = 20116614110544. Its totient is φ = 3006032544000.

The previous prime is 8381409100871. The next prime is 8381409100907. The reversal of 8381409100900 is 90019041838.

It is a super-3 number, since 3×8381409100900³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8381409100907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5146995 + ... + 6576805.

It is an arithmetic number, because the mean of its divisors is an integer number (186264945468).

Almost surely, 2^{8381409100900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8381409100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058307055272).

8381409100900 is an abundant number, since it is smaller than the sum of its proper divisors (11735205009644).

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

8381409100900 is a wasteful number, since it uses less digits than its factorization.

8381409100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429982 (or 1429902 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 8381409100900 in words is "eight trillion, three hundred eighty-one billion, four hundred nine million, one hundred thousand, nine hundred".