1144034322100 has 72 divisors (see below), whose sum is σ = 2590724058048. Its totient is φ = 437678208000.

The previous prime is 1144034322097. The next prime is 1144034322113. The reversal of 1144034322100 is 12234304411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49670787 + ... + 49693813.

It is an arithmetic number, because the mean of its divisors is an integer number (35982278584).

Almost surely, 2^{1144034322100} is an apocalyptic number.

1144034322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144034322100 is an abundant number, since it is smaller than the sum of its proper divisors (1446689735948).

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

1144034322100 is a wasteful number, since it uses less digits than its factorization.

1144034322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44665 (or 44658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1144034322100 its reverse (12234304411), we get a palindrome (1156268626511).

The spelling of 1144034322100 in words is "one trillion, one hundred forty-four billion, thirty-four million, three hundred twenty-two thousand, one hundred".