1144244004100 has 36 divisors (see below), whose sum is σ = 2492671060404. Its totient is φ = 455916666880.

The previous prime is 1144244004073. The next prime is 1144244004109. The reversal of 1144244004100 is 14004424411.

It can be written as a sum of positive squares in 6 ways, for example, as 241930194496 + 902313809604 = 491864^2 + 949902^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1144244004109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22235857 + ... + 22287256.

It is an arithmetic number, because the mean of its divisors is an integer number (69240862789).

Almost surely, 2^{1144244004100} is an apocalyptic number.

1144244004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144244004100 is an abundant number, since it is smaller than the sum of its proper divisors (1348427056304).

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

1144244004100 is a wasteful number, since it uses less digits than its factorization.

1144244004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44523384 (or 44523377 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1144244004100 its reverse (14004424411), we get a palindrome (1158248428511).

The spelling of 1144244004100 in words is "one trillion, one hundred forty-four billion, two hundred forty-four million, four thousand, one hundred".