129918563322240 has 2048 divisors, whose sum is σ = 556020702720000. Its totient is φ = 24975884943360.

The previous prime is 129918563322211. The next prime is 129918563322263. The reversal of 129918563322240 is 42223365819921.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 64030833546 + ... + 64030835574.

It is an arithmetic number, because the mean of its divisors is an integer number (271494483750).

Almost surely, 2^{129918563322240} is an apocalyptic number.

129918563322240 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 129918563322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278010351360000).

129918563322240 is an abundant number, since it is smaller than the sum of its proper divisors (426102139397760).

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

129918563322240 is a wasteful number, since it uses less digits than its factorization.

129918563322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 129918563322240 in words is "one hundred twenty-nine trillion, nine hundred eighteen billion, five hundred sixty-three million, three hundred twenty-two thousand, two hundred forty".