1141222534400 has 216 divisors, whose sum is σ = 3065239582944. Its totient is φ = 418153881600.

The previous prime is 1141222534373. The next prime is 1141222534447. The reversal of 1141222534400 is 44352221411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10846847 + ... + 10951553.

Almost surely, 2^{1141222534400} is an apocalyptic number.

1141222534400 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 1141222534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532619791472).

1141222534400 is an abundant number, since it is smaller than the sum of its proper divisors (1924017048544).

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

1141222534400 is a wasteful number, since it uses less digits than its factorization.

1141222534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104877 (or 104858 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1141222534400 its reverse (44352221411), we get a palindrome (1185574755811).

The spelling of 1141222534400 in words is "one trillion, one hundred forty-one billion, two hundred twenty-two million, five hundred thirty-four thousand, four hundred".