144122101233440 has 96 divisors (see below), whose sum is σ = 376143758242560. Its totient is φ = 51744643891200.

The previous prime is 144122101233437. The next prime is 144122101233503. The reversal of 144122101233440 is 44332101221441.

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 = 144122101233397 and 144122101233406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518136641 + ... + 518414720.

It is an arithmetic number, because the mean of its divisors is an integer number (3918164148360).

Almost surely, 2^{144122101233440} is an apocalyptic number.

144122101233440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144122101233440 is an abundant number, since it is smaller than the sum of its proper divisors (232021657009120).

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

144122101233440 is a wasteful number, since it uses less digits than its factorization.

144122101233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036551466 (or 1036551458 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144122101233440 its reverse (44332101221441), we get a palindrome (188454202454881).

The spelling of 144122101233440 in words is "one hundred forty-four trillion, one hundred twenty-two billion, one hundred one million, two hundred thirty-three thousand, four hundred forty".