36444080400000 has 768 divisors, whose sum is σ = 148921050942720. Its totient is φ = 7689277440000.

The previous prime is 36444080399989. The next prime is 36444080400017. The reversal of 36444080400000 is 408044463.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109033132 + ... + 109366868.

It is an arithmetic number, because the mean of its divisors is an integer number (193907618415).

Almost surely, 2^{36444080400000} is an apocalyptic number.

36444080400000 is a gapful number since it is divisible by the number (30) 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 36444080400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74460525471360).

36444080400000 is an abundant number, since it is smaller than the sum of its proper divisors (112476970542720).

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

36444080400000 is an equidigital number, since it uses as much as digits as its factorization.

36444080400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333799 (or 333767 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 36444080400000 its reverse (408044463), we get a palindrome (36444488444463).

The spelling of 36444080400000 in words is "thirty-six trillion, four hundred forty-four billion, eighty million, four hundred thousand".