1124401140 has 144 divisors (see below), whose sum is σ = 3524753232. Its totient is φ = 289916928.

The previous prime is 1124401129. The next prime is 1124401151. The reversal of 1124401140 is 411044211.

1124401140 is a `hidden beast` number, since 1 + 124 + 401 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (1124401129) and next prime (1124401151).

It can be written as a sum of positive squares in 8 ways, for example, as 504092304 + 620308836 = 22452^2 + 24906^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311592 + ... + 1312448.

It is an arithmetic number, because the mean of its divisors is an integer number (24477453).

Almost surely, 2^1124401140 is an apocalyptic number.

1124401140 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 1124401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762376616).

1124401140 is an abundant number, since it is smaller than the sum of its proper divisors (2400352092).

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

1124401140 is a wasteful number, since it uses less digits than its factorization.

1124401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1101 counting only the distinct ones).

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

The square root of 1124401140 is about 33532.0911963450. The cubic root of 1124401140 is about 1039.8573337338.

Adding to 1124401140 its reverse (411044211), we get a palindrome (1535445351).

The spelling of 1124401140 in words is "one billion, one hundred twenty-four million, four hundred one thousand, one hundred forty".