1233442133040 has 240 divisors, whose sum is σ = 4142751909408. Its totient is φ = 303445868544.

The previous prime is 1233442133009. The next prime is 1233442133041. The reversal of 1233442133040 is 403312443321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1233442132989 and 1233442133007.

It is not an unprimeable number, because it can be changed into a prime (1233442133041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 81801982 + ... + 81817058.

Almost surely, 2^{1233442133040} is an apocalyptic number.

1233442133040 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 1233442133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071375954704).

1233442133040 is an abundant number, since it is smaller than the sum of its proper divisors (2909309776368).

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

1233442133040 is a wasteful number, since it uses less digits than its factorization.

1233442133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17136 (or 17117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1233442133040 its reverse (403312443321), we get a palindrome (1636754576361).

The spelling of 1233442133040 in words is "one trillion, two hundred thirty-three billion, four hundred forty-two million, one hundred thirty-three thousand, forty".