128429949600 has 288 divisors, whose sum is σ = 479474311680. Its totient is φ = 33143040000.

The previous prime is 128429949577. The next prime is 128429949601. The reversal of 128429949600 is 6949924821.

128429949600 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 29 + 9 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (128429949601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573700 + ... + 765500.

It is an arithmetic number, because the mean of its divisors is an integer number (1664841360).

Almost surely, 2^128429949600 is an apocalyptic number.

128429949600 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 128429949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239737155840).

128429949600 is an abundant number, since it is smaller than the sum of its proper divisors (351044362080).

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

128429949600 is a wasteful number, since it uses less digits than its factorization.

128429949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191861 (or 191842 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 128429949600 in words is "one hundred twenty-eight billion, four hundred twenty-nine million, nine hundred forty-nine thousand, six hundred".