4144271040 has 840 divisors, whose sum is σ = 18541453392. Its totient is φ = 870912000.

The previous prime is 4144270981. The next prime is 4144271063. The reversal of 4144271040 is 401724414.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×4144271040³ (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 a junction number, because it is equal to n+sod(n) for n = 4144270995 and 4144271013.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510915 + ... + 16511165.

Almost surely, 2^4144271040 is an apocalyptic number.

4144271040 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 4144271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270726696).

4144271040 is an abundant number, since it is smaller than the sum of its proper divisors (14397182352).

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

4144271040 is a wasteful number, since it uses less digits than its factorization.

4144271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4144271040 is about 64376.0129240698. The cubic root of 4144271040 is about 1606.2607615039.

Adding to 4144271040 its reverse (401724414), we get a palindrome (4545995454).

The spelling of 4144271040 in words is "four billion, one hundred forty-four million, two hundred seventy-one thousand, forty".