1141041554400 has 288 divisors, whose sum is σ = 4056287131008. Its totient is φ = 276305356800.

The previous prime is 1141041554399. The next prime is 1141041554431. The reversal of 1141041554400 is 44551401411.

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

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 47 ways as a sum of consecutive naturals, for example, 23920974 + ... + 23968626.

It is an arithmetic number, because the mean of its divisors is an integer number (14084330316).

Almost surely, 2^{1141041554400} is an apocalyptic number.

1141041554400 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 1141041554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028143565504).

1141041554400 is an abundant number, since it is smaller than the sum of its proper divisors (2915245576608).

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

1141041554400 is a wasteful number, since it uses less digits than its factorization.

1141041554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48594 (or 48581 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 1141041554400 its reverse (44551401411), we get a palindrome (1185592955811).

The spelling of 1141041554400 in words is "one trillion, one hundred forty-one billion, forty-one million, five hundred fifty-four thousand, four hundred".