129424704640 has 1024 divisors, whose sum is σ = 441627033600. Its totient is φ = 35000156160.

The previous prime is 129424704557. The next prime is 129424704641. The reversal of 129424704640 is 46407424921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (129424704641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 748119594 + ... + 748119766.

It is an arithmetic number, because the mean of its divisors is an integer number (431276400).

Almost surely, 2^129424704640 is an apocalyptic number.

129424704640 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 129424704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220813516800).

129424704640 is an abundant number, since it is smaller than the sum of its proper divisors (312202328960).

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

129424704640 is a wasteful number, since it uses less digits than its factorization.

129424704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 129424704640 in words is "one hundred twenty-nine billion, four hundred twenty-four million, seven hundred four thousand, six hundred forty".