8186221440 has 384 divisors, whose sum is σ = 30035491200. Its totient is φ = 2048716800.

The previous prime is 8186221423. The next prime is 8186221447. The reversal of 8186221440 is 441226818.

8186221440 is a `hidden beast` number, since 8 + 18 + 622 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 8186221395 and 8186221404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8186221447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14336355 + ... + 14336925.

It is an arithmetic number, because the mean of its divisors is an integer number (78217425).

Almost surely, 2^8186221440 is an apocalyptic number.

8186221440 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 8186221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017745600).

8186221440 is an abundant number, since it is smaller than the sum of its proper divisors (21849269760).

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

8186221440 is a wasteful number, since it uses less digits than its factorization.

8186221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8186221440 is about 90477.7400248260. The cubic root of 8186221440 is about 2015.3995755398.

The spelling of 8186221440 in words is "eight billion, one hundred eighty-six million, two hundred twenty-one thousand, four hundred forty".