4180004448000 has 288 divisors, whose sum is σ = 14222529502272. Its totient is φ = 1087479808000.

The previous prime is 4180004447999. The next prime is 4180004448001. The reversal of 4180004448000 is 8444000814.

It is a happy number.

4180004448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4180004447999) and next prime (4180004448001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4180004448001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3405004 + ... + 4466996.

It is an arithmetic number, because the mean of its divisors is an integer number (49383782994).

Almost surely, 2^{4180004448000} is an apocalyptic number.

4180004448000 is a gapful number since it is divisible by the number (40) 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 4180004448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111264751136).

4180004448000 is an abundant number, since it is smaller than the sum of its proper divisors (10042525054272).

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

4180004448000 is a wasteful number, since it uses less digits than its factorization.

4180004448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062068 (or 1062044 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

Adding to 4180004448000 its reverse (8444000814), we get a palindrome (4188448448814).

The spelling of 4180004448000 in words is "four trillion, one hundred eighty billion, four million, four hundred forty-eight thousand".