4480000440400 has 60 divisors (see below), whose sum is σ = 10884135987900. Its totient is φ = 1771865328640.

The previous prime is 4480000440337. The next prime is 4480000440401. The reversal of 4480000440400 is 40440000844.

It can be written as a sum of positive squares in 6 ways, for example, as 1655463075904 + 2824537364496 = 1286648^2 + 1680636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480000440401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62885755 + ... + 62956954.

It is an arithmetic number, because the mean of its divisors is an integer number (181402266465).

Almost surely, 2^{4480000440400} is an apocalyptic number.

4480000440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4480000440400 is an abundant number, since it is smaller than the sum of its proper divisors (6404135547500).

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

4480000440400 is a wasteful number, since it uses less digits than its factorization.

4480000440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125842816 (or 125842805 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 4480000440400 in words is "four trillion, four hundred eighty billion, four hundred forty thousand, four hundred".