440144141200 has 60 divisors (see below), whose sum is σ = 1086025965460. Its totient is φ = 171299335680.

The previous prime is 440144141153. The next prime is 440144141201. The reversal of 440144141200 is 2141441044.

It can be written as a sum of positive squares in 6 ways, for example, as 3175547904 + 436968593296 = 56352^2 + 661036^2 .

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 (440144141201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14854935 + ... + 14884534.

Almost surely, 2^440144141200 is an apocalyptic number.

440144141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440144141200 is an abundant number, since it is smaller than the sum of its proper divisors (645881824260).

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

440144141200 is a wasteful number, since it uses less digits than its factorization.

440144141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29739524 (or 29739513 counting only the distinct ones).

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

Adding to 440144141200 its reverse (2141441044), we get a palindrome (442285582244).

The spelling of 440144141200 in words is "four hundred forty billion, one hundred forty-four million, one hundred forty-one thousand, two hundred".