144407040 has 80 divisors (see below), whose sum is σ = 461675808. Its totient is φ = 38506496.

The previous prime is 144407017. The next prime is 144407047. The reversal of 144407040 is 40704441.

144407040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144407040.

It is not an unprimeable number, because it can be changed into a prime (144407047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 17081.

Almost surely, 2^144407040 is an apocalyptic number.

144407040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230837904).

144407040 is an abundant number, since it is smaller than the sum of its proper divisors (317268768).

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

144407040 is an equidigital number, since it uses as much as digits as its factorization.

144407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18829 (or 18813 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 144407040 is about 12016.9480318424. The cubic root of 144407040 is about 524.6416783974.

The spelling of 144407040 in words is "one hundred forty-four million, four hundred seven thousand, forty".