1141581080640 has 1792 divisors, whose sum is σ = 5064796348416. Its totient is φ = 210213273600.

The previous prime is 1141581080623. The next prime is 1141581080699. The reversal of 1141581080640 is 460801851411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3448885275 + ... + 3448885605.

It is an arithmetic number, because the mean of its divisors is an integer number (2826337248).

Almost surely, 2^{1141581080640} is an apocalyptic number.

1141581080640 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 1141581080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532398174208).

1141581080640 is an abundant number, since it is smaller than the sum of its proper divisors (3923215267776).

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

1141581080640 is a wasteful number, since it uses less digits than its factorization.

1141581080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The spelling of 1141581080640 in words is "one trillion, one hundred forty-one billion, five hundred eighty-one million, eighty thousand, six hundred forty".