8208400032000 has 3024 divisors, whose sum is σ = 36711529126272. Its totient is φ = 1821599539200.

The previous prime is 8208400031963. The next prime is 8208400032013. The reversal of 8208400032000 is 2300048028.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 49152095917 + ... + 49152096083.

It is an arithmetic number, because the mean of its divisors is an integer number (12140055928).

Almost surely, 2^{8208400032000} is an apocalyptic number.

8208400032000 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 8208400032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355764563136).

8208400032000 is an abundant number, since it is smaller than the sum of its proper divisors (28503129094272).

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

8208400032000 is an equidigital number, since it uses as much as digits as its factorization.

8208400032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 8208400032000 in words is "eight trillion, two hundred eight billion, four hundred million, thirty-two thousand".