1141231322400 has 144 divisors (see below), whose sum is σ = 4000454829504. Its totient is φ = 280918471680.

The previous prime is 1141231322393. The next prime is 1141231322401. The reversal of 1141231322400 is 42231321411.

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 (1141231322401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18257764 + ... + 18320163.

It is an arithmetic number, because the mean of its divisors is an integer number (27780936316).

Almost surely, 2^{1141231322400} is an apocalyptic number.

1141231322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141231322400 is an abundant number, since it is smaller than the sum of its proper divisors (2859223507104).

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

1141231322400 is a wasteful number, since it uses less digits than its factorization.

1141231322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36577963 (or 36577950 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1141231322400 its reverse (42231321411), we get a palindrome (1183462643811).

The spelling of 1141231322400 in words is "one trillion, one hundred forty-one billion, two hundred thirty-one million, three hundred twenty-two thousand, four hundred".