1332023042304 has 144 divisors (see below), whose sum is σ = 3952476259200. Its totient is φ = 442491623424.

The previous prime is 1332023042281. The next prime is 1332023042327. The reversal of 1332023042304 is 4032403202331.

1332023042304 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 230 + 423 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1332023042281) and next prime (1332023042327).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696357 + ... + 2354075.

It is an arithmetic number, because the mean of its divisors is an integer number (27447751800).

Almost surely, 2^{1332023042304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332023042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976238129600).

1332023042304 is an abundant number, since it is smaller than the sum of its proper divisors (2620453216896).

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

1332023042304 is an equidigital number, since it uses as much as digits as its factorization.

1332023042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658037 (or 658017 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1332023042304 its reverse (4032403202331), we get a palindrome (5364426244635).

The spelling of 1332023042304 in words is "one trillion, three hundred thirty-two billion, twenty-three million, forty-two thousand, three hundred four".