144415140520 has 256 divisors, whose sum is σ = 398740193280. Its totient is φ = 46027699200.

The previous prime is 144415140497. The next prime is 144415140523. The reversal of 144415140520 is 25041514441.

It is a super-2 number, since 2×144415140520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (144415140523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22764469 + ... + 22770811.

It is an arithmetic number, because the mean of its divisors is an integer number (1557578880).

Almost surely, 2^144415140520 is an apocalyptic number.

144415140520 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 144415140520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199370096640).

144415140520 is an abundant number, since it is smaller than the sum of its proper divisors (254325052760).

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

144415140520 is a wasteful number, since it uses less digits than its factorization.

144415140520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 144415140520 its reverse (25041514441), we get a palindrome (169456654961).

The spelling of 144415140520 in words is "one hundred forty-four billion, four hundred fifteen million, one hundred forty thousand, five hundred twenty".