144413040 has 80 divisors (see below), whose sum is σ = 463140000. Its totient is φ = 37180416.

The previous prime is 144413039. The next prime is 144413051. The reversal of 144413040 is 40314441.

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

It is a super-2 number, since 2×144413040² = 41710252244083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144412998 and 144413016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 17334.

It is an arithmetic number, because the mean of its divisors is an integer number (5789250).

Almost surely, 2^144413040 is an apocalyptic number.

144413040 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 144413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231570000).

144413040 is an abundant number, since it is smaller than the sum of its proper divisors (318726960).

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

144413040 is a wasteful number, since it uses less digits than its factorization.

144413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20794 (or 20788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144413040 is about 12017.1976766632. The cubic root of 144413040 is about 524.6489444478.

Adding to 144413040 its reverse (40314441), we get a palindrome (184727481).

The spelling of 144413040 in words is "one hundred forty-four million, four hundred thirteen thousand, forty".