129009438720 has 364 divisors, whose sum is σ = 464218667076. Its totient is φ = 34398535680.

The previous prime is 129009438697. The next prime is 129009438787. The reversal of 129009438720 is 27834900921.

It can be written as a sum of positive squares in 2 ways, for example, as 20077756416 + 108931682304 = 141696^2 + 330048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14925600 + ... + 14934240.

Almost surely, 2^129009438720 is an apocalyptic number.

129009438720 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 129009438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232109333538).

129009438720 is an abundant number, since it is smaller than the sum of its proper divisors (335209228356).

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

129009438720 is an frugal number, since it uses more digits than its factorization.

129009438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 129009438720 in words is "one hundred twenty-nine billion, nine million, four hundred thirty-eight thousand, seven hundred twenty".