8800434124032 has 144 divisors (see below), whose sum is σ = 23529500047872. Its totient is φ = 2920040724480.

The previous prime is 8800434123997. The next prime is 8800434124067. The reversal of 8800434124032 is 2304214340088.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8800434123997) and next prime (8800434124067).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164445823 + ... + 164499329.

It is an arithmetic number, because the mean of its divisors is an integer number (163399305888).

Almost surely, 2^{8800434124032} 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 8800434124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764750023936).

8800434124032 is an abundant number, since it is smaller than the sum of its proper divisors (14729065923840).

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

8800434124032 is a wasteful number, since it uses less digits than its factorization.

8800434124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54504 (or 54490 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 8800434124032 in words is "eight trillion, eight hundred billion, four hundred thirty-four million, one hundred twenty-four thousand, thirty-two".