1141321133040 has 160 divisors (see below), whose sum is σ = 3874418735616. Its totient is φ = 275631713280.

The previous prime is 1141321133003. The next prime is 1141321133081. The reversal of 1141321133040 is 403311231411.

It is a happy number.

It is a super-2 number, since 2×1141321133040² (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 1141321133040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127579 + ... + 1516218.

Almost surely, 2^{1141321133040} is an apocalyptic number.

1141321133040 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 1141321133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937209367808).

1141321133040 is an abundant number, since it is smaller than the sum of its proper divisors (2733097602576).

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

1141321133040 is a wasteful number, since it uses less digits than its factorization.

1141321133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644087 (or 1644081 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1141321133040 its reverse (403311231411), we get a palindrome (1544632364451).

The spelling of 1141321133040 in words is "one trillion, one hundred forty-one billion, three hundred twenty-one million, one hundred thirty-three thousand, forty".