1141786630800 has 720 divisors, whose sum is σ = 4323465502720. Its totient is φ = 277976448000.

The previous prime is 1141786630783. The next prime is 1141786630811. The reversal of 1141786630800 is 80366871411.

1141786630800 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 7 + 8 + 6 + 630 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 574627407 + ... + 574629393.

Almost surely, 2^{1141786630800} is an apocalyptic number.

1141786630800 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 1141786630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161732751360).

1141786630800 is an abundant number, since it is smaller than the sum of its proper divisors (3181678871920).

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

1141786630800 is a wasteful number, since it uses less digits than its factorization.

1141786630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1141786630800 in words is "one trillion, one hundred forty-one billion, seven hundred eighty-six million, six hundred thirty thousand, eight hundred".