144400000000 has 297 divisors, whose sum is σ = 380813769867. Its totient is φ = 54720000000.

The previous prime is 144399999973. The next prime is 144400000001. The reversal of 144400000000 is 4441.

It is a happy number.

The square root of 144400000000 is 380000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 102666413056 + 41733586944 = 320416^2 + 204288^2 .

It is not an unprimeable number, because it can be changed into a prime (144400000001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7599999991 + ... + 7600000009.

Almost surely, 2^144400000000 is an apocalyptic number.

144400000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144400000000 is the 380000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144400000000

144400000000 is an abundant number, since it is smaller than the sum of its proper divisors (236413769867).

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

144400000000 is an frugal number, since it uses more digits than its factorization.

144400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Multiplying 144400000000 by its product of nonzero digits (64), we get a square (9241600000000 = 3040000²).

144400000000 divided by its product of nonzero digits (64) gives a square (2256250000 = 47500²).

Adding to 144400000000 its reverse (4441), we get a palindrome (144400004441).

It can be divided in two parts, 144 and 400000000, that multiplied together give a square (57600000000 = 240000²).

The spelling of 144400000000 in words is "one hundred forty-four billion, four hundred million", and thus it is an aban number.