| Base | Representation |
|---|---|
| bin | 1111000011010101… |
| … | …0100100000000000 |
| 3 | 101102120221010221210 |
| 4 | 3300311110200000 |
| 5 | 31233332300230 |
| 6 | 1504534050120 |
| 7 | 202061522622 |
| oct | 36065244000 |
| 9 | 11376833853 |
| 10 | 4040509440 |
| 11 | 1793842600 |
| 12 | 9491a9940 |
| 13 | 4c51360b6 |
| 14 | 2a489ac12 |
| 15 | 189ac7eb0 |
| hex | f0d54800 |
4040509440 has 288 divisors, whose sum is σ = 14221509120. Its totient is φ = 978616320.
The previous prime is 4040509379. The next prime is 4040509457. The reversal of 4040509440 is 449050404.
It is a super-2 number, since 2×40405094402 = 32651433069458227200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 4040509398 and 4040509407.
It is a congruent number.
It is an unprimeable number.
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, 3716577 + ... + 3717663.
It is an arithmetic number, because the mean of its divisors is an integer number (49380240).
Almost surely, 24040509440 is an apocalyptic number.
4040509440 is a gapful number since it is divisible by the number (40) 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 4040509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).
4040509440 is an abundant number, since it is smaller than the sum of its proper divisors (10180999680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4040509440 is a wasteful number, since it uses less digits than its factorization.
4040509440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1139 (or 1108 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The square root of 4040509440 is about 63565.0016911822. The cubic root of 4040509440 is about 1592.7417904513.
Adding to 4040509440 its reverse (449050404), we get a palindrome (4489559844).
The spelling of 4040509440 in words is "four billion, forty million, five hundred nine thousand, four hundred forty".
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