1073229328800 has 432 divisors, whose sum is σ = 4015942650720. Its totient is φ = 279536624640.

The previous prime is 1073229328751. The next prime is 1073229328841. The reversal of 1073229328800 is 88239223701.

1073229328800 is a `hidden beast` number, since 10 + 73 + 2 + 293 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8295006 + ... + 8423394.

Almost surely, 2^{1073229328800} is an apocalyptic number.

1073229328800 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 1073229328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007971325360).

1073229328800 is an abundant number, since it is smaller than the sum of its proper divisors (2942713321920).

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

1073229328800 is a wasteful number, since it uses less digits than its factorization.

1073229328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128467 (or 128442 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1073229328800 in words is "one trillion, seventy-three billion, two hundred twenty-nine million, three hundred twenty-eight thousand, eight hundred".