8000428888440 has 384 divisors, whose sum is σ = 28390837063680. Its totient is φ = 1947802982400.

The previous prime is 8000428888427. The next prime is 8000428888477. The reversal of 8000428888440 is 448888240008.

8000428888440 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 42 + 88 + 88 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18524155 + ... + 18951125.

It is an arithmetic number, because the mean of its divisors is an integer number (73934471520).

Almost surely, 2^{8000428888440} 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 8000428888440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195418531840).

8000428888440 is an abundant number, since it is smaller than the sum of its proper divisors (20390408175240).

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

8000428888440 is a wasteful number, since it uses less digits than its factorization.

8000428888440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427115 (or 427108 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 54.

The spelling of 8000428888440 in words is "eight trillion, four hundred twenty-eight million, eight hundred eighty-eight thousand, four hundred forty".