1144432241200 has 120 divisors (see below), whose sum is σ = 2921980927680. Its totient is φ = 429254553600.

The previous prime is 1144432241179. The next prime is 1144432241221. The reversal of 1144432241200 is 21422344411.

It is an interprime number because it is at equal distance from previous prime (1144432241179) and next prime (1144432241221).

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, 1532286 + ... + 2153314.

It is an arithmetic number, because the mean of its divisors is an integer number (24349841064).

Almost surely, 2^{1144432241200} is an apocalyptic number.

1144432241200 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 1144432241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460990463840).

1144432241200 is an abundant number, since it is smaller than the sum of its proper divisors (1777548686480).

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

1144432241200 is a wasteful number, since it uses less digits than its factorization.

1144432241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621335 (or 621324 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1144432241200 its reverse (21422344411), we get a palindrome (1165854585611).

The spelling of 1144432241200 in words is "one trillion, one hundred forty-four billion, four hundred thirty-two million, two hundred forty-one thousand, two hundred".