84404080404000 has 960 divisors, whose sum is σ = 354256251148800. Its totient is φ = 19280959027200.

The previous prime is 84404080403971. The next prime is 84404080404019. The reversal of 84404080404000 is 40408040448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 159 ways as a sum of consecutive naturals, for example, 4188985926 + ... + 4189006074.

It is an arithmetic number, because the mean of its divisors is an integer number (369016928280).

Almost surely, 2^{84404080404000} is an apocalyptic number.

84404080404000 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 84404080404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177128125574400).

84404080404000 is an abundant number, since it is smaller than the sum of its proper divisors (269852170744800).

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

84404080404000 is a wasteful number, since it uses less digits than its factorization.

84404080404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22040 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 84404080404000 its reverse (40408040448), we get a palindrome (84444488444448).

The spelling of 84404080404000 in words is "eighty-four trillion, four hundred four billion, eighty million, four hundred four thousand".