2044414332144 has 120 divisors (see below), whose sum is σ = 6109744368000. Its totient is φ = 636747471360.

The previous prime is 2044414332143. The next prime is 2044414332167. The reversal of 2044414332144 is 4412334144402.

2044414332144 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 4 + 1 + 433 + 214 + 4 = 666.

It is a super-2 number, since 2×2044414332144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2044414332099 and 2044414332108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044414332143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7766719 + ... + 8025630.

It is an arithmetic number, because the mean of its divisors is an integer number (50914536400).

Almost surely, 2^{2044414332144} is an apocalyptic number.

2044414332144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2044414332144 is an abundant number, since it is smaller than the sum of its proper divisors (4065330035856).

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

2044414332144 is a wasteful number, since it uses less digits than its factorization.

2044414332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15792423 (or 15792414 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2044414332144 its reverse (4412334144402), we get a palindrome (6456748476546).

The spelling of 2044414332144 in words is "two trillion, forty-four billion, four hundred fourteen million, three hundred thirty-two thousand, one hundred forty-four".