1133414405200 has 720 divisors, whose sum is σ = 3639345316992. Its totient is φ = 330891264000.

The previous prime is 1133414405143. The next prime is 1133414405219. The reversal of 1133414405200 is 25044143311.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 143 ways as a sum of consecutive naturals, for example, 1768196880 + ... + 1768197520.

Almost surely, 2^{1133414405200} is an apocalyptic number.

1133414405200 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 1133414405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819672658496).

1133414405200 is an abundant number, since it is smaller than the sum of its proper divisors (2505930911792).

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

1133414405200 is a wasteful number, since it uses less digits than its factorization.

1133414405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1133414405200 its reverse (25044143311), we get a palindrome (1158458548511).

The spelling of 1133414405200 in words is "one trillion, one hundred thirty-three billion, four hundred fourteen million, four hundred five thousand, two hundred".