129465693440000 has 960 divisors, whose sum is σ = 342984461339520. Its totient is φ = 48781393920000.

The previous prime is 129465693439993. The next prime is 129465693440009. The reversal of 129465693440000 is 44396564921.

It is a super-2 number, since 2×129465693440000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129465693440009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232433919722 + ... + 232433920278.

It is an arithmetic number, because the mean of its divisors is an integer number (357275480562).

Almost surely, 2^{129465693440000} is an apocalyptic number.

129465693440000 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 129465693440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171492230669760).

129465693440000 is an abundant number, since it is smaller than the sum of its proper divisors (213518767899520).

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

129465693440000 is an equidigital number, since it uses as much as digits as its factorization.

129465693440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 53.

The spelling of 129465693440000 in words is "one hundred twenty-nine trillion, four hundred sixty-five billion, six hundred ninety-three million, four hundred forty thousand".