129067438080000 has 2560 divisors, whose sum is σ = 528305128243200. Its totient is φ = 27348959232000.

The previous prime is 129067438079939. The next prime is 129067438080001. The reversal of 129067438080000 is 80834760921.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (129067438080001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 928542719931 + ... + 928542720069.

It is an arithmetic number, because the mean of its divisors is an integer number (206369190720).

Almost surely, 2^{129067438080000} is an apocalyptic number.

129067438080000 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 129067438080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264152564121600).

129067438080000 is an abundant number, since it is smaller than the sum of its proper divisors (399237690163200).

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

129067438080000 is an equidigital number, since it uses as much as digits as its factorization.

129067438080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 129067438080000 in words is "one hundred twenty-nine trillion, sixty-seven billion, four hundred thirty-eight million, eighty thousand".