123416513340 has 48 divisors (see below), whose sum is σ = 345592451232. Its totient is φ = 32908573696.

The previous prime is 123416513329. The next prime is 123416513347. The reversal of 123416513340 is 43315614321.

123416513340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123416513347) by changing a digit.

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, 801472 + ... + 942968.

It is an arithmetic number, because the mean of its divisors is an integer number (7199842734).

Almost surely, 2^123416513340 is an apocalyptic number.

123416513340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123416513340 is an abundant number, since it is smaller than the sum of its proper divisors (222175937892).

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

123416513340 is a wasteful number, since it uses less digits than its factorization.

123416513340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156046 (or 156044 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

It can be divided in two parts, 123416 and 513340, that added together give a triangular number (636756 = T₁₁₂₈).

The spelling of 123416513340 in words is "one hundred twenty-three billion, four hundred sixteen million, five hundred thirteen thousand, three hundred forty".