1144110004400 has 60 divisors (see below), whose sum is σ = 2998608323064. Its totient is φ = 416040000000.

The previous prime is 1144110004391. The next prime is 1144110004459. The reversal of 1144110004400 is 44000114411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130008101 + ... + 130016900.

Almost surely, 2^{1144110004400} is an apocalyptic number.

1144110004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144110004400 is an abundant number, since it is smaller than the sum of its proper divisors (1854498318664).

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

1144110004400 is a wasteful number, since it uses less digits than its factorization.

1144110004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260025030 (or 260025019 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1144110004400 its reverse (44000114411), we get a palindrome (1188110118811).

The spelling of 1144110004400 in words is "one trillion, one hundred forty-four billion, one hundred ten million, four thousand, four hundred".