144412114440 has 128 divisors (see below), whose sum is σ = 485395182720. Its totient is φ = 34062796800.

The previous prime is 144412114373. The next prime is 144412114489. The reversal of 144412114440 is 44411214441.

144412114440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144412114398 and 144412114407.

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 31 ways as a sum of consecutive naturals, for example, 1429581 + ... + 1527260.

It is an arithmetic number, because the mean of its divisors is an integer number (3792149865).

Almost surely, 2^144412114440 is an apocalyptic number.

144412114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144412114440 is an abundant number, since it is smaller than the sum of its proper divisors (340983068280).

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

144412114440 is a wasteful number, since it uses less digits than its factorization.

144412114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956903 (or 2956899 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 144412114440 its reverse (44411214441), we get a palindrome (188823328881).

It can be divided in two parts, 144412 and 114440, that added together give a palindrome (258852).

The spelling of 144412114440 in words is "one hundred forty-four billion, four hundred twelve million, one hundred fourteen thousand, four hundred forty".