8027048998440 has 72 divisors (see below), whose sum is σ = 26088083954010. Its totient is φ = 2140532064576.

The previous prime is 8027048998417. The next prime is 8027048998453. The reversal of 8027048998440 is 448998407208.

8027048998440 is a `hidden beast` number, since 8 + 0 + 2 + 70 + 489 + 9 + 84 + 4 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7224344098596 + 802704899844 = 2687814^2 + 895938^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53681619 + ... + 53830941.

Almost surely, 2^{8027048998440} is an apocalyptic number.

It is an amenable number.

8027048998440 is an abundant number, since it is smaller than the sum of its proper divisors (18061034955570).

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

8027048998440 is an frugal number, since it uses more digits than its factorization.

8027048998440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298663 (or 149333 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 8027048998440 in words is "eight trillion, twenty-seven billion, forty-eight million, nine hundred ninety-eight thousand, four hundred forty".