129347291040 has 384 divisors, whose sum is σ = 468782899200. Its totient is φ = 29649162240.

The previous prime is 129347290997. The next prime is 129347291123. The reversal of 129347291040 is 40192743921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 129347290983 and 129347291001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73533681 + ... + 73535439.

It is an arithmetic number, because the mean of its divisors is an integer number (1220788800).

Almost surely, 2^129347291040 is an apocalyptic number.

129347291040 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 129347291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234391449600).

129347291040 is an abundant number, since it is smaller than the sum of its proper divisors (339435608160).

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

129347291040 is a wasteful number, since it uses less digits than its factorization.

129347291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 129347291040 in words is "one hundred twenty-nine billion, three hundred forty-seven million, two hundred ninety-one thousand, forty".