8381219400 has 144 divisors (see below), whose sum is σ = 28173375360. Its totient is φ = 2232892800.

The previous prime is 8381219387. The next prime is 8381219449. The reversal of 8381219400 is 49121838.

8381219400 is a `hidden beast` number, since 8 + 38 + 1 + 219 + 400 = 666.

It is a Cunningham number, because it is equal to 91549²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3294529 + ... + 3297071.

It is an arithmetic number, because the mean of its divisors is an integer number (195648440).

Almost surely, 2^8381219400 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 8381219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086687680).

8381219400 is an abundant number, since it is smaller than the sum of its proper divisors (19792155960).

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

8381219400 is a wasteful number, since it uses less digits than its factorization.

8381219400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8381219400 is about 91548.9999945384. Note that the first 5 decimals coincide. The cubic root of 8381219400 is about 2031.2766202113.

The spelling of 8381219400 in words is "eight billion, three hundred eighty-one million, two hundred nineteen thousand, four hundred".