144051320503040 has 144 divisors (see below), whose sum is σ = 347102187792192. Its totient is φ = 57278403182592.

The previous prime is 144051320503033. The next prime is 144051320503043. The reversal of 144051320503040 is 40305023150441.

144051320503040 is digitally balanced in base 3, 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 144051320502988 and 144051320503006.

It is not an unprimeable number, because it can be changed into a prime (144051320503043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159753932 + ... + 160653108.

It is an arithmetic number, because the mean of its divisors is an integer number (2410431859668).

Almost surely, 2^{144051320503040} is an apocalyptic number.

144051320503040 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 144051320503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173551093896096).

144051320503040 is an abundant number, since it is smaller than the sum of its proper divisors (203050867289152).

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

144051320503040 is an equidigital number, since it uses as much as digits as its factorization.

144051320503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899942 (or 899928 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 144051320503040 its reverse (40305023150441), we get a palindrome (184356343653481).

The spelling of 144051320503040 in words is "one hundred forty-four trillion, fifty-one billion, three hundred twenty million, five hundred three thousand, forty".