1141225040340 has 288 divisors, whose sum is σ = 4334764412160. Its totient is φ = 236101478400.

The previous prime is 1141225040309. The next prime is 1141225040341. The reversal of 1141225040340 is 430405221411.

1141225040340 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 250 + 403 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141225040341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2994160 + ... + 3353720.

It is an arithmetic number, because the mean of its divisors is an integer number (15051265320).

Almost surely, 2^{1141225040340} is an apocalyptic number.

1141225040340 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 1141225040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167382206080).

1141225040340 is an abundant number, since it is smaller than the sum of its proper divisors (3193539371820).

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

1141225040340 is a wasteful number, since it uses less digits than its factorization.

1141225040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359823 (or 359818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1141225040340 in words is "one trillion, one hundred forty-one billion, two hundred twenty-five million, forty thousand, three hundred forty".