129407471271936 has 1920 divisors, whose sum is σ = 486400268390400. Its totient is φ = 33419239096320.

The previous prime is 129407471271931. The next prime is 129407471271977. The reversal of 129407471271936 is 639172174704921.

It is a happy number.

129407471271936 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 0 + 7 + 471 + 2 + 71 + 93 + 6 = 666.

It is a super-2 number, since 2×129407471271936² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129407471271931) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 42193500675 + ... + 42193503741.

It is an arithmetic number, because the mean of its divisors is an integer number (253333473120).

Almost surely, 2^{129407471271936} is an apocalyptic number.

129407471271936 is a gapful number since it is divisible by the number (16) 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 129407471271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243200134195200).

129407471271936 is an abundant number, since it is smaller than the sum of its proper divisors (356992797118464).

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

129407471271936 is a wasteful number, since it uses less digits than its factorization.

129407471271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 129407471271936 in words is "one hundred twenty-nine trillion, four hundred seven billion, four hundred seventy-one million, two hundred seventy-one thousand, nine hundred thirty-six".