129408489360 has 360 divisors, whose sum is σ = 462899647080. Its totient is φ = 32392249344.

The previous prime is 129408489359. The next prime is 129408489401. The reversal of 129408489360 is 63984804921.

129408489360 is a `hidden beast` number, since 12 + 94 + 0 + 8 + 489 + 3 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 50296464 + 129358192896 = 7092^2 + 359664^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 129408489297 and 129408489306.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 118396974 + ... + 118398066.

It is an arithmetic number, because the mean of its divisors is an integer number (1285832353).

Almost surely, 2^129408489360 is an apocalyptic number.

129408489360 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 129408489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231449823540).

129408489360 is an abundant number, since it is smaller than the sum of its proper divisors (333491157720).

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

129408489360 is a wasteful number, since it uses less digits than its factorization.

129408489360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 129408489360 in words is "one hundred twenty-nine billion, four hundred eight million, four hundred eighty-nine thousand, three hundred sixty".