1234432042000 has 80 divisors (see below), whose sum is σ = 2989375547184. Its totient is φ = 493025280000.

The previous prime is 1234432041991. The next prime is 1234432042007. The reversal of 1234432042000 is 2402344321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 115567362304 + 1118864679696 = 339952^2 + 1057764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1234432042007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855120 + ... + 1788880.

Almost surely, 2^{1234432042000} is an apocalyptic number.

1234432042000 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 1234432042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494687773592).

1234432042000 is an abundant number, since it is smaller than the sum of its proper divisors (1754943505184).

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

1234432042000 is an equidigital number, since it uses as much as digits as its factorization.

1234432042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934445 (or 934429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1234432042000 its reverse (2402344321), we get a palindrome (1236834386321).

The spelling of 1234432042000 in words is "one trillion, two hundred thirty-four billion, four hundred thirty-two million, forty-two thousand".