129718247040 has 1280 divisors, whose sum is σ = 528909004800. Its totient is φ = 30098718720.

The previous prime is 129718247027. The next prime is 129718247047. The reversal of 129718247040 is 40742817921.

129718247040 is a `hidden beast` number, since 12 + 97 + 1 + 82 + 470 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (129718247047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1021403457 + ... + 1021403583.

It is an arithmetic number, because the mean of its divisors is an integer number (413210160).

Almost surely, 2^129718247040 is an apocalyptic number.

129718247040 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 129718247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264454502400).

129718247040 is an abundant number, since it is smaller than the sum of its proper divisors (399190757760).

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

129718247040 is a wasteful number, since it uses less digits than its factorization.

129718247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 129718247040 in words is "one hundred twenty-nine billion, seven hundred eighteen million, two hundred forty-seven thousand, forty".