1448431140200 has 96 divisors (see below), whose sum is σ = 3675919860000. Its totient is φ = 526390867200.

The previous prime is 1448431140181. The next prime is 1448431140217. The reversal of 1448431140200 is 20411348441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3544046 + ... + 3931554.

It is an arithmetic number, because the mean of its divisors is an integer number (38290831875).

Almost surely, 2^{1448431140200} is an apocalyptic number.

1448431140200 is a gapful number since it is divisible by the number (10) 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 1448431140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837959930000).

1448431140200 is an abundant number, since it is smaller than the sum of its proper divisors (2227488719800).

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

1448431140200 is a wasteful number, since it uses less digits than its factorization.

1448431140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389235 (or 389226 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 1448431140200 its reverse (20411348441), we get a palindrome (1468842488641).

The spelling of 1448431140200 in words is "one trillion, four hundred forty-eight billion, four hundred thirty-one million, one hundred forty thousand, two hundred".