4122811440 has 640 divisors, whose sum is σ = 16777497600. Its totient is φ = 919388160.

The previous prime is 4122811439. The next prime is 4122811493. The reversal of 4122811440 is 441182214.

It is a super-3 number, since 3×4122811440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 23831194 + ... + 23831366.

It is an arithmetic number, because the mean of its divisors is an integer number (26214840).

Almost surely, 2^4122811440 is an apocalyptic number.

4122811440 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 4122811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388748800).

4122811440 is an abundant number, since it is smaller than the sum of its proper divisors (12654686160).

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

4122811440 is a wasteful number, since it uses less digits than its factorization.

4122811440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4122811440 is about 64209.1227163244. The cubic root of 4122811440 is about 1603.4834832529.

Adding to 4122811440 its reverse (441182214), we get a palindrome (4563993654).

The spelling of 4122811440 in words is "four billion, one hundred twenty-two million, eight hundred eleven thousand, four hundred forty".