1141581680 has 40 divisors (see below), whose sum is σ = 2655847872. Its totient is φ = 456345344.

The previous prime is 1141581659. The next prime is 1141581713. The reversal of 1141581680 is 861851411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1141581680² = 2606417464223244800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1141581680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161582 + ... + 168498.

Almost surely, 2^1141581680 is an apocalyptic number.

1141581680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141581680 is an abundant number, since it is smaller than the sum of its proper divisors (1514266192).

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

1141581680 is a wasteful number, since it uses less digits than its factorization.

1141581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 35.

The square root of 1141581680 is about 33787.3005728484. The cubic root of 1141581680 is about 1045.1268299929.

The spelling of 1141581680 in words is "one billion, one hundred forty-one million, five hundred eighty-one thousand, six hundred eighty".