4144011840 has 560 divisors, whose sum is σ = 15766542000. Its totient is φ = 1031159808.

The previous prime is 4144011791. The next prime is 4144011847. The reversal of 4144011840 is 481104414.

4144011840 is a `hidden beast` number, since 41 + 440 + 1 + 184 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10036224 + 4133975616 = 3168^2 + 64296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144011847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27812086 + ... + 27812234.

Almost surely, 2^4144011840 is an apocalyptic number.

4144011840 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 4144011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883271000).

4144011840 is an abundant number, since it is smaller than the sum of its proper divisors (11622530160).

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

4144011840 is a wasteful number, since it uses less digits than its factorization.

4144011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

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

The square root of 4144011840 is about 64373.9997203840. Note that the first 3 decimals coincide. The cubic root of 4144011840 is about 1606.2272733894.

The spelling of 4144011840 in words is "four billion, one hundred forty-four million, eleven thousand, eight hundred forty".