1141322231040 has 288 divisors, whose sum is σ = 3664553840640. Its totient is φ = 302733139968.

The previous prime is 1141322231039. The next prime is 1141322231041. The reversal of 1141322231040 is 401322231411.

It is an interprime number because it is at equal distance from previous prime (1141322231039) and next prime (1141322231041).

It is a super-2 number, since 2×1141322231040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1141322231040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141322231041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720986089 + ... + 720987671.

It is an arithmetic number, because the mean of its divisors is an integer number (12724145280).

Almost surely, 2^{1141322231040} is an apocalyptic number.

1141322231040 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 1141322231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832276920320).

1141322231040 is an abundant number, since it is smaller than the sum of its proper divisors (2523231609600).

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

1141322231040 is a wasteful number, since it uses less digits than its factorization.

1141322231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1141322231040 its reverse (401322231411), we get a palindrome (1542644462451).

The spelling of 1141322231040 in words is "one trillion, one hundred forty-one billion, three hundred twenty-two million, two hundred thirty-one thousand, forty".