1141041435300 has 720 divisors, whose sum is σ = 4068207066000. Its totient is φ = 274934476800.

The previous prime is 1141041435299. The next prime is 1141041435323. The reversal of 1141041435300 is 35341401411.

1141041435300 is a `hidden beast` number, since 1 + 14 + 104 + 14 + 3 + 530 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 936543933504 + 204497501796 = 967752^2 + 452214^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2241731446 + ... + 2241731954.

Almost surely, 2^{1141041435300} is an apocalyptic number.

1141041435300 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 1141041435300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034103533000).

1141041435300 is an abundant number, since it is smaller than the sum of its proper divisors (2927165630700).

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

1141041435300 is a wasteful number, since it uses less digits than its factorization.

1141041435300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1141041435300 its reverse (35341401411), we get a palindrome (1176382836711).

The spelling of 1141041435300 in words is "one trillion, one hundred forty-one billion, forty-one million, four hundred thirty-five thousand, three hundred".