1320033350400 has 432 divisors, whose sum is σ = 4390151928960. Its totient is φ = 349293772800.

The previous prime is 1320033350371. The next prime is 1320033350401. The reversal of 1320033350400 is 40533300231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1320033350401) 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 47 ways as a sum of consecutive naturals, for example, 2059334080 + ... + 2059334720.

Almost surely, 2^{1320033350400} is an apocalyptic number.

1320033350400 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 1320033350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195075964480).

1320033350400 is an abundant number, since it is smaller than the sum of its proper divisors (3070118578560).

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

1320033350400 is a wasteful number, since it uses less digits than its factorization.

1320033350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 1320033350400 its reverse (40533300231), we get a palindrome (1360566650631).

The spelling of 1320033350400 in words is "one trillion, three hundred twenty billion, thirty-three million, three hundred fifty thousand, four hundred".