129729589440 has 448 divisors, whose sum is σ = 488651263488. Its totient is φ = 28798156800.

The previous prime is 129729589433. The next prime is 129729589453. The reversal of 129729589440 is 44985927921.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6632475 + ... + 6652005.

Almost surely, 2^129729589440 is an apocalyptic number.

129729589440 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 129729589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244325631744).

129729589440 is an abundant number, since it is smaller than the sum of its proper divisors (358921674048).

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

129729589440 is a wasteful number, since it uses less digits than its factorization.

129729589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19606 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 129729589440 in words is "one hundred twenty-nine billion, seven hundred twenty-nine million, five hundred eighty-nine thousand, four hundred forty".