8442217840 has 240 divisors, whose sum is σ = 23911416000. Its totient is φ = 2767532544.

The previous prime is 8442217801. The next prime is 8442217859. The reversal of 8442217840 is 487122448.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8442217793 and 8442217802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81963229 + ... + 81963331.

It is an arithmetic number, because the mean of its divisors is an integer number (99630900).

Almost surely, 2^8442217840 is an apocalyptic number.

8442217840 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 8442217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955708000).

8442217840 is an abundant number, since it is smaller than the sum of its proper divisors (15469198160).

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

8442217840 is a wasteful number, since it uses less digits than its factorization.

8442217840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 8442217840 is about 91881.5424337228. The cubic root of 8442217840 is about 2036.1925843538.

The spelling of 8442217840 in words is "eight billion, four hundred forty-two million, two hundred seventeen thousand, eight hundred forty".