129727417040 has 160 divisors (see below), whose sum is σ = 339254286336. Its totient is φ = 45774305280.

The previous prime is 129727417031. The next prime is 129727417073. The reversal of 129727417040 is 40714727921.

It is a junction number, because it is equal to n+sod(n) for n = 129727416982 and 129727417000.

It is a congruent number.

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, 37480910 + ... + 37484370.

Almost surely, 2^129727417040 is an apocalyptic number.

129727417040 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 129727417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169627143168).

129727417040 is an abundant number, since it is smaller than the sum of its proper divisors (209526869296).

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

129727417040 is a wasteful number, since it uses less digits than its factorization.

129727417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 129727417040 in words is "one hundred twenty-nine billion, seven hundred twenty-seven million, four hundred seventeen thousand, forty".