1152444334400 has 336 divisors, whose sum is σ = 3088509791472. Its totient is φ = 421527552000.

The previous prime is 1152444334397. The next prime is 1152444334427. The reversal of 1152444334400 is 44334442511.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 817129218304 + 335315116096 = 903952^2 + 579064^2 .

It is a super-3 number, since 3×1152444334400³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286604390 + ... + 286608410.

It is an arithmetic number, because the mean of its divisors is an integer number (9191993427).

Almost surely, 2^{1152444334400} is an apocalyptic number.

1152444334400 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 1152444334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544254895736).

1152444334400 is an abundant number, since it is smaller than the sum of its proper divisors (1936065457072).

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

1152444334400 is a wasteful number, since it uses less digits than its factorization.

1152444334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 1152444334400 its reverse (44334442511), we get a palindrome (1196778776911).

The spelling of 1152444334400 in words is "one trillion, one hundred fifty-two billion, four hundred forty-four million, three hundred thirty-four thousand, four hundred".