1141103405200 has 240 divisors, whose sum is σ = 3042743109120. Its totient is φ = 407743488000.

The previous prime is 1141103405191. The next prime is 1141103405209. The reversal of 1141103405200 is 25043011411.

It is an interprime number because it is at equal distance from previous prime (1141103405191) and next prime (1141103405209).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1141103405209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472114392 + ... + 472116808.

It is an arithmetic number, because the mean of its divisors is an integer number (12678096288).

Almost surely, 2^{1141103405200} is an apocalyptic number.

1141103405200 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 1141103405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521371554560).

1141103405200 is an abundant number, since it is smaller than the sum of its proper divisors (1901639703920).

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

1141103405200 is a wasteful number, since it uses less digits than its factorization.

1141103405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1141103405200 its reverse (25043011411), we get a palindrome (1166146416611).

The spelling of 1141103405200 in words is "one trillion, one hundred forty-one billion, one hundred three million, four hundred five thousand, two hundred".