129444672240 has 320 divisors, whose sum is σ = 481975401600. Its totient is φ = 31743000576.

The previous prime is 129444672163. The next prime is 129444672241. The reversal of 129444672240 is 42276444921.

129444672240 is a `hidden beast` number, since 12 + 94 + 446 + 72 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129444672241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7544952 + ... + 7562088.

It is an arithmetic number, because the mean of its divisors is an integer number (1506173130).

Almost surely, 2^129444672240 is an apocalyptic number.

129444672240 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 129444672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240987700800).

129444672240 is an abundant number, since it is smaller than the sum of its proper divisors (352530729360).

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

129444672240 is a wasteful number, since it uses less digits than its factorization.

129444672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17441 (or 17429 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 129444672240 in words is "one hundred twenty-nine billion, four hundred forty-four million, six hundred seventy-two thousand, two hundred forty".