129968701440 has 544 divisors, whose sum is σ = 443921748480. Its totient is φ = 32413581312.

The previous prime is 129968701439. The next prime is 129968701441. The reversal of 129968701440 is 44107869921.

It is an interprime number because it is at equal distance from previous prime (129968701439) and next prime (129968701441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129968701441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339883472 + ... + 1339883568.

Almost surely, 2^129968701440 is an apocalyptic number.

129968701440 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 129968701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221960874240).

129968701440 is an abundant number, since it is smaller than the sum of its proper divisors (313953047040).

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

129968701440 is an frugal number, since it uses more digits than its factorization.

129968701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 129968701440 in words is "one hundred twenty-nine billion, nine hundred sixty-eight million, seven hundred one thousand, four hundred forty".