123030142345440 has 1536 divisors, whose sum is σ = 510040816588800. Its totient is φ = 27721726156800.

The previous prime is 123030142345427. The next prime is 123030142345499. The reversal of 123030142345440 is 44543241030321.

123030142345440 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 30 + 142 + 3 + 45 + 440 = 666.

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 = 123030142345395 and 123030142345404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3876047970 + ... + 3876079710.

It is an arithmetic number, because the mean of its divisors is an integer number (332057823300).

Almost surely, 2^{123030142345440} is an apocalyptic number.

123030142345440 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 123030142345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255020408294400).

123030142345440 is an abundant number, since it is smaller than the sum of its proper divisors (387010674243360).

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

123030142345440 is a wasteful number, since it uses less digits than its factorization.

123030142345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31860 (or 31834 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 123030142345440 its reverse (44543241030321), we get a palindrome (167573383375761).

The spelling of 123030142345440 in words is "one hundred twenty-three trillion, thirty billion, one hundred forty-two million, three hundred forty-five thousand, four hundred forty".