129034369794640 has 80 divisors (see below), whose sum is σ = 300390852661200. Its totient is φ = 51547355611136.

The previous prime is 129034369794601. The next prime is 129034369794643. The reversal of 129034369794640 is 46497963430921.

It can be written as a sum of positive squares in 8 ways, for example, as 1819250649616 + 127215119145024 = 1348796^2 + 11278968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129034369794643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1768696404 + ... + 1768769356.

It is an arithmetic number, because the mean of its divisors is an integer number (3754885658265).

Almost surely, 2^{129034369794640} is an apocalyptic number.

129034369794640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129034369794640 is an abundant number, since it is smaller than the sum of its proper divisors (171356482866560).

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

129034369794640 is a wasteful number, since it uses less digits than its factorization.

129034369794640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101104 (or 101098 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 67.

The spelling of 129034369794640 in words is "one hundred twenty-nine trillion, thirty-four billion, three hundred sixty-nine million, seven hundred ninety-four thousand, six hundred forty".