123309613440 has 512 divisors, whose sum is σ = 479235657600. Its totient is φ = 29777559552.

The previous prime is 123309613423. The next prime is 123309613481. The reversal of 123309613440 is 44316903321.

123309613440 is a `hidden beast` number, since 1 + 2 + 3 + 30 + 9 + 613 + 4 + 4 + 0 = 666.

123309613440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 123309613395 and 123309613404.

It is a congruent number.

It is an unprimeable number.

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, 11900742 + ... + 11911098.

Almost surely, 2^123309613440 is an apocalyptic number.

123309613440 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 123309613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239617828800).

123309613440 is an abundant number, since it is smaller than the sum of its proper divisors (355926044160).

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

123309613440 is a wasteful number, since it uses less digits than its factorization.

123309613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 123309613440 in words is "one hundred twenty-three billion, three hundred nine million, six hundred thirteen thousand, four hundred forty".