8440290144 has 432 divisors, whose sum is σ = 29377176192. Its totient is φ = 2280960000.

The previous prime is 8440290083. The next prime is 8440290167. The reversal of 8440290144 is 4410920448.

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 = 8440290099 and 8440290108.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14043444 + ... + 14044044.

Almost surely, 2^8440290144 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 8440290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688588096).

8440290144 is an abundant number, since it is smaller than the sum of its proper divisors (20936886048).

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

8440290144 is a wasteful number, since it uses less digits than its factorization.

8440290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8440290144 is about 91871.0517192440. The cubic root of 8440290144 is about 2036.0375911530.

The spelling of 8440290144 in words is "eight billion, four hundred forty million, two hundred ninety thousand, one hundred forty-four".