4448149209600 has 240 divisors, whose sum is σ = 14792820609600. Its totient is φ = 1178210713600.

The previous prime is 4448149209589. The next prime is 4448149209607. The reversal of 4448149209600 is 69029418444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4448149209607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5332885 + ... + 6110315.

It is an arithmetic number, because the mean of its divisors is an integer number (61636752540).

Almost surely, 2^{4448149209600} is an apocalyptic number.

4448149209600 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 4448149209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396410304800).

4448149209600 is an abundant number, since it is smaller than the sum of its proper divisors (10344671400000).

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

4448149209600 is a wasteful number, since it uses less digits than its factorization.

4448149209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777611 (or 777590 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 4448149209600 in words is "four trillion, four hundred forty-eight billion, one hundred forty-nine million, two hundred nine thousand, six hundred".