1023234432000 has 352 divisors, whose sum is σ = 3713100528384. Its totient is φ = 248055808000.

The previous prime is 1023234431911. The next prime is 1023234432007. The reversal of 1023234432000 is 2344323201.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023234432007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4102879 + ... + 4345121.

Almost surely, 2^{1023234432000} is an apocalyptic number.

1023234432000 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 1023234432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856550264192).

1023234432000 is an abundant number, since it is smaller than the sum of its proper divisors (2689866096384).

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

1023234432000 is a wasteful number, since it uses less digits than its factorization.

1023234432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242292 (or 242264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1023234432000 its reverse (2344323201), we get a palindrome (1025578755201).

The spelling of 1023234432000 in words is "one trillion, twenty-three billion, two hundred thirty-four million, four hundred thirty-two thousand".