129408814080 has 1408 divisors, whose sum is σ = 577525186560. Its totient is φ = 27088846848.

The previous prime is 129408814069. The next prime is 129408814121. The reversal of 129408814080 is 80418804921.

129408814080 is a `hidden beast` number, since 1 + 29 + 408 + 8 + 140 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1018966977 + ... + 1018967103.

Almost surely, 2^129408814080 is an apocalyptic number.

129408814080 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 129408814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288762593280).

129408814080 is an abundant number, since it is smaller than the sum of its proper divisors (448116372480).

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

129408814080 is an equidigital number, since it uses as much as digits as its factorization.

129408814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 129408814080 in words is "one hundred twenty-nine billion, four hundred eight million, eight hundred fourteen thousand, eighty".