1141840124640 has 144 divisors (see below), whose sum is σ = 3954686915088. Its totient is φ = 299946037248.

The previous prime is 1141840124627. The next prime is 1141840124651. The reversal of 1141840124640 is 464210481411.

1141840124640 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 4 + 0 + 1 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1141840124595 and 1141840124604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5821017 + ... + 6013976.

It is an arithmetic number, because the mean of its divisors is an integer number (27463103577).

Almost surely, 2^{1141840124640} is an apocalyptic number.

1141840124640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141840124640 is an abundant number, since it is smaller than the sum of its proper divisors (2812846790448).

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

1141840124640 is a wasteful number, since it uses less digits than its factorization.

1141840124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835081 (or 11835070 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1141840124640 in words is "one trillion, one hundred forty-one billion, eight hundred forty million, one hundred twenty-four thousand, six hundred forty".