129042064661328 has 960 divisors, whose sum is σ = 463123048227840. Its totient is φ = 32623301394432.

The previous prime is 129042064661327. The next prime is 129042064661347. The reversal of 129042064661328 is 823166460240921.

129042064661328 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 42 + 0 + 6 + 466 + 132 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129042064661327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31682311900 + ... + 31682315972.

It is an arithmetic number, because the mean of its divisors is an integer number (482419841904).

Almost surely, 2^{129042064661328} is an apocalyptic number.

129042064661328 is a gapful number since it is divisible by the number (18) 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 129042064661328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231561524113920).

129042064661328 is an abundant number, since it is smaller than the sum of its proper divisors (334080983566512).

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

129042064661328 is a wasteful number, since it uses less digits than its factorization.

129042064661328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 129042064661328 in words is "one hundred twenty-nine trillion, forty-two billion, sixty-four million, six hundred sixty-one thousand, three hundred twenty-eight".