8385949440 has 1008 divisors, whose sum is σ = 35388017280. Its totient is φ = 1881169920.

The previous prime is 8385949427. The next prime is 8385949493. The reversal of 8385949440 is 449495838.

8385949440 is a `hidden beast` number, since 8 + 3 + 8 + 594 + 9 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195022059 + ... + 195022101.

It is an arithmetic number, because the mean of its divisors is an integer number (35107160).

Almost surely, 2^8385949440 is an apocalyptic number.

8385949440 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 8385949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694008640).

8385949440 is an abundant number, since it is smaller than the sum of its proper divisors (27002067840).

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

8385949440 is a wasteful number, since it uses less digits than its factorization.

8385949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 8385949440 is about 91574.8297295714. The cubic root of 8385949440 is about 2031.6586733194.

The spelling of 8385949440 in words is "eight billion, three hundred eighty-five million, nine hundred forty-nine thousand, four hundred forty".