1141241040 has 120 divisors (see below), whose sum is σ = 3849156168. Its totient is φ = 303022080.

The previous prime is 1141241039. The next prime is 1141241041. The reversal of 1141241040 is 401421411.

It is an interprime number because it is at equal distance from previous prime (1141241039) and next prime (1141241041).

It can be written as a sum of positive squares in 4 ways, for example, as 584092224 + 557148816 = 24168^2 + 23604^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1141241040² = 2604862222760563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141241041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170232 + ... + 176808.

Almost surely, 2^1141241040 is an apocalyptic number.

1141241040 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 1141241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924578084).

1141241040 is an abundant number, since it is smaller than the sum of its proper divisors (2707915128).

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

1141241040 is a wasteful number, since it uses less digits than its factorization.

1141241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1141241040 is about 33782.2592494937. The cubic root of 1141241040 is about 1045.0228668027.

Adding to 1141241040 its reverse (401421411), we get a palindrome (1542662451).

The spelling of 1141241040 in words is "one billion, one hundred forty-one million, two hundred forty-one thousand, forty".