1121433101440 has 64 divisors (see below), whose sum is σ = 2717651135160. Its totient is φ = 442428383232.

The previous prime is 1121433101419. The next prime is 1121433101441. The reversal of 1121433101440 is 441013341211.

It can be written as a sum of positive squares in 4 ways, for example, as 1045252685376 + 76180416064 = 1022376^2 + 276008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1121433101440² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121433101441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11954919 + ... + 12048358.

Almost surely, 2^{1121433101440} is an apocalyptic number.

1121433101440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121433101440 is an abundant number, since it is smaller than the sum of its proper divisors (1596218033720).

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

1121433101440 is an equidigital number, since it uses as much as digits as its factorization.

1121433101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24003369 (or 24003357 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1121433101440 its reverse (441013341211), we get a palindrome (1562446442651).

The spelling of 1121433101440 in words is "one trillion, one hundred twenty-one billion, four hundred thirty-three million, one hundred one thousand, four hundred forty".