1141759872000 has 792 divisors, whose sum is σ = 4523008229376. Its totient is φ = 276756480000.

The previous prime is 1141759871957. The next prime is 1141759872103. The reversal of 1141759872000 is 2789571411.

It is a happy number.

1141759872000 is a `hidden beast` number, since 11 + 41 + 7 + 598 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139387905 + ... + 139396095.

Almost surely, 2^{1141759872000} is an apocalyptic number.

1141759872000 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 1141759872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261504114688).

1141759872000 is an abundant number, since it is smaller than the sum of its proper divisors (3381248357376).

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

1141759872000 is a wasteful number, since it uses less digits than its factorization.

1141759872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 1141759872000 in words is "one trillion, one hundred forty-one billion, seven hundred fifty-nine million, eight hundred seventy-two thousand".