129386401440 has 192 divisors, whose sum is σ = 423274553856. Its totient is φ = 33197294592.

The previous prime is 129386401439. The next prime is 129386401471. The reversal of 129386401440 is 44104683921.

It is a junction number, because it is equal to n+sod(n) for n = 129386401392 and 129386401401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336099 + ... + 1429661.

It is an arithmetic number, because the mean of its divisors is an integer number (2204554968).

Almost surely, 2^129386401440 is an apocalyptic number.

129386401440 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 129386401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211637276928).

129386401440 is an abundant number, since it is smaller than the sum of its proper divisors (293888152416).

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

129386401440 is a wasteful number, since it uses less digits than its factorization.

129386401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93691 (or 93683 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 129386401440 in words is "one hundred twenty-nine billion, three hundred eighty-six million, four hundred one thousand, four hundred forty".