1000128729600 has 3840 divisors, whose sum is σ = 5114672640000. Its totient is φ = 188581478400.

The previous prime is 1000128729577. The next prime is 1000128729641. The reversal of 1000128729600 is 69278210001.

1000128729600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 28 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16951334371 + ... + 16951334429.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946000).

Almost surely, 2^{1000128729600} is an apocalyptic number.

1000128729600 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 1000128729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557336320000).

1000128729600 is an abundant number, since it is smaller than the sum of its proper divisors (4114543910400).

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

1000128729600 is a wasteful number, since it uses less digits than its factorization.

1000128729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1000128729600 in words is "one trillion, one hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred".