1141880144 has 40 divisors (see below), whose sum is σ = 2239771080. Its totient is φ = 563904000.

The previous prime is 1141880137. The next prime is 1141880153. The reversal of 1141880144 is 4410881411.

It can be written as a sum of positive squares in 4 ways, for example, as 618019600 + 523860544 = 24860^2 + 22888^2 .

It is a super-2 number, since 2×1141880144² = 2607780526522921472, 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 1141880144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067642 + ... + 1068710.

It is an arithmetic number, because the mean of its divisors is an integer number (55994277).

Almost surely, 2^1141880144 is an apocalyptic number.

It is an amenable number.

1141880144 is a deficient number, since it is larger than the sum of its proper divisors (1097890936).

1141880144 is a wasteful number, since it uses less digits than its factorization.

1141880144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 1141880144 is about 33791.7170916188. The cubic root of 1141880144 is about 1045.2179040874.

The spelling of 1141880144 in words is "one billion, one hundred forty-one million, eight hundred eighty thousand, one hundred forty-four".