1141132544400 has 120 divisors (see below), whose sum is σ = 3847818937120. Its totient is φ = 288286110720.

The previous prime is 1141132544371. The next prime is 1141132544441. The reversal of 1141132544400 is 44452311411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25002037 + ... + 25047636.

Almost surely, 2^{1141132544400} is an apocalyptic number.

1141132544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141132544400 is an abundant number, since it is smaller than the sum of its proper divisors (2706686392720).

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

1141132544400 is a wasteful number, since it uses less digits than its factorization.

1141132544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50049713 (or 50049702 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1141132544400 its reverse (44452311411), we get a palindrome (1185584855811).

The spelling of 1141132544400 in words is "one trillion, one hundred forty-one billion, one hundred thirty-two million, five hundred forty-four thousand, four hundred".