8414089488 has 300 divisors, whose sum is σ = 29102553612. Its totient is φ = 2338398720.

The previous prime is 8414089441. The next prime is 8414089547. The reversal of 8414089488 is 8849804148.

It is a happy number.

8414089488 is a `hidden beast` number, since 8 + 41 + 40 + 89 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7514809344 + 899280144 = 86688^2 + 29988^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2347858 + ... + 2351438.

Almost surely, 2^8414089488 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 8414089488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551276806).

8414089488 is an abundant number, since it is smaller than the sum of its proper divisors (20688464124).

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

8414089488 is a wasteful number, since it uses less digits than its factorization.

8414089488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 8414089488 is about 91728.3461531930. The cubic root of 8414089488 is about 2033.9286267278.

The spelling of 8414089488 in words is "eight billion, four hundred fourteen million, eighty-nine thousand, four hundred eighty-eight".