1144540040 has 96 divisors (see below), whose sum is σ = 3007390680. Its totient is φ = 390878208.

The previous prime is 1144540021. The next prime is 1144540043. The reversal of 1144540040 is 400454411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1139332516 + 5207524 = 33754^2 + 2282^2 .

It is a super-3 number, since 3×1144540040³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144539988 and 1144540015.

It is not an unprimeable number, because it can be changed into a prime (1144540043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573284 + ... + 575276.

Almost surely, 2^1144540040 is an apocalyptic number.

1144540040 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 1144540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503695340).

1144540040 is an abundant number, since it is smaller than the sum of its proper divisors (1862850640).

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

1144540040 is a wasteful number, since it uses less digits than its factorization.

1144540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1144540040 is about 33831.0514173001. The cubic root of 1144540040 is about 1046.0288517207.

Adding to 1144540040 its reverse (400454411), we get a palindrome (1544994451).

The spelling of 1144540040 in words is "one billion, one hundred forty-four million, five hundred forty thousand, forty".