8904061440 has 480 divisors, whose sum is σ = 33092167680. Its totient is φ = 2204762112.

The previous prime is 8904061417. The next prime is 8904061451. The reversal of 8904061440 is 441604098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 8904061395 and 8904061404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49743271 + ... + 49743449.

It is an arithmetic number, because the mean of its divisors is an integer number (68942016).

Almost surely, 2^8904061440 is an apocalyptic number.

8904061440 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 8904061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

8904061440 is an abundant number, since it is smaller than the sum of its proper divisors (24188106240).

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

8904061440 is a wasteful number, since it uses less digits than its factorization.

8904061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8904061440 is about 94361.3344543198. The cubic root of 8904061440 is about 2072.6662834400. Note that the first 3 decimals are identical.

The spelling of 8904061440 in words is "eight billion, nine hundred four million, sixty-one thousand, four hundred forty".