12429539687460 has 1152 divisors, whose sum is σ = 47049062989824. Its totient is φ = 2388110376960.

The previous prime is 12429539687447. The next prime is 12429539687497. The reversal of 12429539687460 is 6478693592421.

12429539687460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12429539687391 and 12429539687400.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4209121344 + ... + 4209124296.

It is an arithmetic number, because the mean of its divisors is an integer number (40841200512).

It is a 1-persistent number, because it is pandigital, but 2⋅12429539687460 = 24859079374920 is not.

Almost surely, 2^{12429539687460} is an apocalyptic number.

12429539687460 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 12429539687460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524531494912).

12429539687460 is an abundant number, since it is smaller than the sum of its proper divisors (34619523302364).

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

12429539687460 is a wasteful number, since it uses less digits than its factorization.

12429539687460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 12429539687460 in words is "twelve trillion, four hundred twenty-nine billion, five hundred thirty-nine million, six hundred eighty-seven thousand, four hundred sixty".