1141177356000 has 384 divisors, whose sum is σ = 4531516254720. Its totient is φ = 276648768000.

The previous prime is 1141177355893. The next prime is 1141177356001. The reversal of 1141177356000 is 6537711411.

It is a happy number.

1141177356000 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 17 + 7 + 35 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141177356001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 707707 + ... + 1668293.

It is an arithmetic number, because the mean of its divisors is an integer number (11800823580).

Almost surely, 2^{1141177356000} is an apocalyptic number.

1141177356000 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 1141177356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265758127360).

1141177356000 is an abundant number, since it is smaller than the sum of its proper divisors (3390338898720).

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

1141177356000 is a wasteful number, since it uses less digits than its factorization.

1141177356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960632 (or 960608 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 1141177356000 in words is "one trillion, one hundred forty-one billion, one hundred seventy-seven million, three hundred fifty-six thousand".