123329399307840 has 1120 divisors, whose sum is σ = 520435136098944. Its totient is φ = 27378765987840.

The previous prime is 123329399307799. The next prime is 123329399307859. The reversal of 123329399307840 is 48703993923321.

123329399307840 is a `hidden beast` number, since 1 + 2 + 33 + 293 + 9 + 9 + 307 + 8 + 4 + 0 = 666.

123329399307840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 178996639 + ... + 179684321.

Almost surely, 2^{123329399307840} is an apocalyptic number.

123329399307840 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 123329399307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260217568049472).

123329399307840 is an abundant number, since it is smaller than the sum of its proper divisors (397105736791104).

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

123329399307840 is a wasteful number, since it uses less digits than its factorization.

123329399307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687777 (or 687758 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 123329399307840 in words is "one hundred twenty-three trillion, three hundred twenty-nine billion, three hundred ninety-nine million, three hundred seven thousand, eight hundred forty".