8014443840 has 672 divisors, whose sum is σ = 31872911616. Its totient is φ = 1832878080.

The previous prime is 8014443823. The next prime is 8014443847. The reversal of 8014443840 is 483444108.

8014443840 is a `hidden beast` number, since 80 + 144 + 438 + 4 + 0 = 666.

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 = 8014443795 and 8014443804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014443847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35305807 + ... + 35306033.

It is an arithmetic number, because the mean of its divisors is an integer number (47429928).

Almost surely, 2^8014443840 is an apocalyptic number.

8014443840 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 8014443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936455808).

8014443840 is an abundant number, since it is smaller than the sum of its proper divisors (23858467776).

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

8014443840 is a wasteful number, since it uses less digits than its factorization.

8014443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8014443840 is about 89523.4262078926. The cubic root of 8014443840 is about 2001.2029296684.

Adding to 8014443840 its reverse (483444108), we get a palindrome (8497887948).

The spelling of 8014443840 in words is "eight billion, fourteen million, four hundred forty-three thousand, eight hundred forty".