129709004040 has 288 divisors, whose sum is σ = 529557013440. Its totient is φ = 26952456960.

The previous prime is 129709003979. The next prime is 129709004063. The reversal of 129709004040 is 40400907921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129709003986 and 129709004004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92227 + ... + 517613.

It is an arithmetic number, because the mean of its divisors is an integer number (1838739630).

Almost surely, 2^129709004040 is an apocalyptic number.

129709004040 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 129709004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264778506720).

129709004040 is an abundant number, since it is smaller than the sum of its proper divisors (399848009400).

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

129709004040 is a wasteful number, since it uses less digits than its factorization.

129709004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425433 (or 425415 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 129709004040 in words is "one hundred twenty-nine billion, seven hundred nine million, four thousand, forty".