8428717440 has 768 divisors, whose sum is σ = 35553772800. Its totient is φ = 1881169920.

The previous prime is 8428717439. The next prime is 8428717457. The reversal of 8428717440 is 447178248.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22239171 + ... + 22239549.

It is an arithmetic number, because the mean of its divisors is an integer number (46293975).

Almost surely, 2^8428717440 is an apocalyptic number.

8428717440 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 8428717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776886400).

8428717440 is an abundant number, since it is smaller than the sum of its proper divisors (27125055360).

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

8428717440 is a wasteful number, since it uses less digits than its factorization.

8428717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 8428717440 is about 91808.0467061575. The cubic root of 8428717440 is about 2035.1066106132.

The spelling of 8428717440 in words is "eight billion, four hundred twenty-eight million, seven hundred seventeen thousand, four hundred forty".