4480400803200 has 768 divisors, whose sum is σ = 17371366256640. Its totient is φ = 993536409600.

The previous prime is 4480400803169. The next prime is 4480400803213. The reversal of 4480400803200 is 23080040844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 927424785 + ... + 927429615.

It is an arithmetic number, because the mean of its divisors is an integer number (22618966480).

Almost surely, 2^{4480400803200} is an apocalyptic number.

4480400803200 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 4480400803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685683128320).

4480400803200 is an abundant number, since it is smaller than the sum of its proper divisors (12890965453440).

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

4480400803200 is a wasteful number, since it uses less digits than its factorization.

4480400803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 4480400803200 in words is "four trillion, four hundred eighty billion, four hundred million, eight hundred three thousand, two hundred".