129010544640 has 416 divisors, whose sum is σ = 461539915200. Its totient is φ = 34186199040.

The previous prime is 129010544623. The next prime is 129010544653. The reversal of 129010544640 is 46445010921.

129010544640 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 1 + 0 + 5 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129010544595 and 129010544604.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 100085116 + ... + 100086404.

It is an arithmetic number, because the mean of its divisors is an integer number (1109470950).

Almost surely, 2^129010544640 is an apocalyptic number.

129010544640 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 129010544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230769957600).

129010544640 is an abundant number, since it is smaller than the sum of its proper divisors (332529370560).

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

129010544640 is a wasteful number, since it uses less digits than its factorization.

129010544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 129010544640 in words is "one hundred twenty-nine billion, ten million, five hundred forty-four thousand, six hundred forty".