123432241440 has 192 divisors, whose sum is σ = 409684746240. Its totient is φ = 31151692800.

The previous prime is 123432241433. The next prime is 123432241469. The reversal of 123432241440 is 44142234321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123432241398 and 123432241407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9907215 + ... + 9919665.

It is an arithmetic number, because the mean of its divisors is an integer number (2133774720).

Almost surely, 2^123432241440 is an apocalyptic number.

123432241440 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 123432241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204842373120).

123432241440 is an abundant number, since it is smaller than the sum of its proper divisors (286252504800).

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

123432241440 is a wasteful number, since it uses less digits than its factorization.

123432241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 123432241440 its reverse (44142234321), we get a palindrome (167574475761).

The spelling of 123432241440 in words is "one hundred twenty-three billion, four hundred thirty-two million, two hundred forty-one thousand, four hundred forty".