1029235412160 has 224 divisors, whose sum is σ = 3631793925120. Its totient is φ = 274396253184.

The previous prime is 1029235412159. The next prime is 1029235412189. The reversal of 1029235412160 is 612145329201.

1029235412160 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 235 + 412 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43075737 + ... + 43099623.

Almost surely, 2^{1029235412160} is an apocalyptic number.

1029235412160 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 1029235412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815896962560).

1029235412160 is an abundant number, since it is smaller than the sum of its proper divisors (2602558512960).

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

1029235412160 is a wasteful number, since it uses less digits than its factorization.

1029235412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28900 (or 28884 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1029235412160 in words is "one trillion, twenty-nine billion, two hundred thirty-five million, four hundred twelve thousand, one hundred sixty".