129640416480 has 288 divisors, whose sum is σ = 458872229088. Its totient is φ = 33302016000.

The previous prime is 129640416449. The next prime is 129640416511. The reversal of 129640416480 is 84614046921.

129640416480 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 404 + 164 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (129640416449) and next prime (129640416511).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×129640416480³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5369235 + ... + 5393325.

It is an arithmetic number, because the mean of its divisors is an integer number (1593306351).

Almost surely, 2^129640416480 is an apocalyptic number.

129640416480 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 129640416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229436114544).

129640416480 is an abundant number, since it is smaller than the sum of its proper divisors (329231812608).

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

129640416480 is a wasteful number, since it uses less digits than its factorization.

129640416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24250 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 129640416480 in words is "one hundred twenty-nine billion, six hundred forty million, four hundred sixteen thousand, four hundred eighty".