8894874493440 has 480 divisors, whose sum is σ = 33190410052800. Its totient is φ = 2188497420288.

The previous prime is 8894874493429. The next prime is 8894874493487. The reversal of 8894874493440 is 443944784988.

8894874493440 is a `hidden beast` number, since 8 + 8 + 94 + 8 + 7 + 4 + 4 + 93 + 440 = 666.

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 (72).

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, 808398979 + ... + 808409981.

It is an arithmetic number, because the mean of its divisors is an integer number (69146687610).

Almost surely, 2^{8894874493440} is an apocalyptic number.

8894874493440 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 8894874493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595205026400).

8894874493440 is an abundant number, since it is smaller than the sum of its proper divisors (24295535559360).

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

8894874493440 is a wasteful number, since it uses less digits than its factorization.

8894874493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 8894874493440 in words is "eight trillion, eight hundred ninety-four billion, eight hundred seventy-four million, four hundred ninety-three thousand, four hundred forty".