4414480398000 has 960 divisors, whose sum is σ = 16612692969600. Its totient is φ = 1131663052800.

The previous prime is 4414480397989. The next prime is 4414480398007. The reversal of 4414480398000 is 8930844144.

4414480398000 is a `hidden beast` number, since 44 + 144 + 80 + 398 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4414480398007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4129541466 + ... + 4129542534.

It is an arithmetic number, because the mean of its divisors is an integer number (17304888510).

Almost surely, 2^{4414480398000} is an apocalyptic number.

4414480398000 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 4414480398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306346484800).

4414480398000 is an abundant number, since it is smaller than the sum of its proper divisors (12198212571600).

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

4414480398000 is a wasteful number, since it uses less digits than its factorization.

4414480398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4414480398000 in words is "four trillion, four hundred fourteen billion, four hundred eighty million, three hundred ninety-eight thousand".