4480800408000 has 1344 divisors, whose sum is σ = 18656779714560. Its totient is φ = 1005447168000.

The previous prime is 4480800407981. The next prime is 4480800408031. The reversal of 4480800408000 is 8040080844.

It is a tau number, because it is divible by the number of its divisors (1344).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8567495739 + ... + 8567496261.

Almost surely, 2^{4480800408000} is an apocalyptic number.

4480800408000 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 4480800408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9328389857280).

4480800408000 is an abundant number, since it is smaller than the sum of its proper divisors (14175979306560).

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

4480800408000 is a wasteful number, since it uses less digits than its factorization.

4480800408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 4480800408000 its reverse (8040080844), we get a palindrome (4488840488844).

The spelling of 4480800408000 in words is "four trillion, four hundred eighty billion, eight hundred million, four hundred eight thousand".