1141010841600 has 1800 divisors, whose sum is σ = 5132680549920. Its totient is φ = 245461155840.

The previous prime is 1141010841521. The next prime is 1141010841623. The reversal of 1141010841600 is 61480101411.

1141010841600 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 10 + 8 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67118284792 + ... + 67118284808.

Almost surely, 2^{1141010841600} is an apocalyptic number.

1141010841600 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 1141010841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566340274960).

1141010841600 is an abundant number, since it is smaller than the sum of its proper divisors (3991669708320).

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

1141010841600 is an frugal number, since it uses more digits than its factorization.

1141010841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 1141010841600 in words is "one trillion, one hundred forty-one billion, ten million, eight hundred forty-one thousand, six hundred".