129805441920 has 1280 divisors, whose sum is σ = 597155328000. Its totient is φ = 26077593600.

The previous prime is 129805441877. The next prime is 129805441963. The reversal of 129805441920 is 29144508921.

It is a happy number.

129805441920 is a `hidden beast` number, since 1 + 2 + 9 + 80 + 544 + 1 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (129805441877) and next prime (129805441963).

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 159 ways as a sum of consecutive naturals, for example, 123741556 + ... + 123742604.

It is an arithmetic number, because the mean of its divisors is an integer number (466527600).

Almost surely, 2^129805441920 is an apocalyptic number.

129805441920 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 129805441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298577664000).

129805441920 is an abundant number, since it is smaller than the sum of its proper divisors (467349886080).

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

129805441920 is a wasteful number, since it uses less digits than its factorization.

129805441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 129805441920 in words is "one hundred twenty-nine billion, eight hundred five million, four hundred forty-one thousand, nine hundred twenty".