12429481609440 has 672 divisors, whose sum is σ = 51387102950400. Its totient is φ = 2780568456192.

The previous prime is 12429481609423. The next prime is 12429481609471. The reversal of 12429481609440 is 4490618492421.

12429481609440 is a `hidden beast` number, since 1 + 2 + 4 + 29 + 4 + 8 + 1 + 609 + 4 + 4 + 0 = 666.

12429481609440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12429481609440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38212611 + ... + 38536509.

It is an arithmetic number, because the mean of its divisors is an integer number (76468903200).

Almost surely, 2^{12429481609440} is an apocalyptic number.

12429481609440 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 12429481609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693551475200).

12429481609440 is an abundant number, since it is smaller than the sum of its proper divisors (38957621340960).

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

12429481609440 is an equidigital number, since it uses as much as digits as its factorization.

12429481609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323986 (or 323963 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 12429481609440 in words is "twelve trillion, four hundred twenty-nine billion, four hundred eighty-one million, six hundred nine thousand, four hundred forty".