129636919844040 has 512 divisors, whose sum is σ = 454952816640000. Its totient is φ = 28939213357056.

The previous prime is 129636919844023. The next prime is 129636919844051. The reversal of 129636919844040 is 40448919636921.

129636919844040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 11385821²-1.

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, 13435265136 + ... + 13435274784.

It is an arithmetic number, because the mean of its divisors is an integer number (888579720000).

Almost surely, 2^{129636919844040} is an apocalyptic number.

129636919844040 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 129636919844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227476408320000).

129636919844040 is an abundant number, since it is smaller than the sum of its proper divisors (325315896795960).

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

129636919844040 is a wasteful number, since it uses less digits than its factorization.

129636919844040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11469 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 66.

The spelling of 129636919844040 in words is "one hundred twenty-nine trillion, six hundred thirty-six billion, nine hundred nineteen million, eight hundred forty-four thousand, forty".