129480337728 has 1008 divisors, whose sum is σ = 479925888000. Its totient is φ = 34566497280.

The previous prime is 129480337687. The next prime is 129480337729. The reversal of 129480337728 is 827733084921.

129480337728 is a `hidden beast` number, since 129 + 480 + 3 + 37 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129480337729) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4176785073 + ... + 4176785103.

Almost surely, 2^129480337728 is an apocalyptic number.

129480337728 is a gapful number since it is divisible by the number (18) 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 129480337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239962944000).

129480337728 is an abundant number, since it is smaller than the sum of its proper divisors (350445550272).

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

129480337728 is an frugal number, since it uses more digits than its factorization.

129480337728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 129480337728 in words is "one hundred twenty-nine billion, four hundred eighty million, three hundred thirty-seven thousand, seven hundred twenty-eight".