129173740416 has 480 divisors, whose sum is σ = 449406037080. Its totient is φ = 36723456000.

The previous prime is 129173740403. The next prime is 129173740427. The reversal of 129173740416 is 614047371921.

It is a happy number.

129173740416 is a `hidden beast` number, since 1 + 29 + 173 + 7 + 40 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 127515526 + ... + 127516538.

Almost surely, 2^129173740416 is an apocalyptic number.

129173740416 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 129173740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224703018540).

129173740416 is an abundant number, since it is smaller than the sum of its proper divisors (320232296664).

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

129173740416 is a wasteful number, since it uses less digits than its factorization.

129173740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 129173740416 in words is "one hundred twenty-nine billion, one hundred seventy-three million, seven hundred forty thousand, four hundred sixteen".