1124381440 has 288 divisors, whose sum is σ = 3399580800. Its totient is φ = 354041856.

The previous prime is 1124381431. The next prime is 1124381443. The reversal of 1124381440 is 441834211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1124381399 and 1124381408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124381443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5707422 + ... + 5707618.

It is an arithmetic number, because the mean of its divisors is an integer number (11804100).

Almost surely, 2^1124381440 is an apocalyptic number.

1124381440 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 1124381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699790400).

1124381440 is an abundant number, since it is smaller than the sum of its proper divisors (2275199360).

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

1124381440 is an equidigital number, since it uses as much as digits as its factorization.

1124381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1124381440 is about 33531.7974466028. The cubic root of 1124381440 is about 1039.8512607798.

The spelling of 1124381440 in words is "one billion, one hundred twenty-four million, three hundred eighty-one thousand, four hundred forty".