8353981440 has 704 divisors, whose sum is σ = 34664716800. Its totient is φ = 1868562432.

The previous prime is 8353981421. The next prime is 8353981459. The reversal of 8353981440 is 441893538.

8353981440 is a `hidden beast` number, since 83 + 53 + 9 + 81 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (8353981421) and next prime (8353981459).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86123472 + ... + 86123568.

Almost surely, 2^8353981440 is an apocalyptic number.

8353981440 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 8353981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332358400).

8353981440 is an abundant number, since it is smaller than the sum of its proper divisors (26310735360).

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

8353981440 is a wasteful number, since it uses less digits than its factorization.

8353981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8353981440 is about 91400.1172865768. The cubic root of 8353981440 is about 2029.0737635062.

The spelling of 8353981440 in words is "eight billion, three hundred fifty-three million, nine hundred eighty-one thousand, four hundred forty".