4144311503640 has 768 divisors, whose sum is σ = 17558840033280. Its totient is φ = 822012871680.

The previous prime is 4144311503627. The next prime is 4144311503677. The reversal of 4144311503640 is 463051134414.

4144311503640 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 3 + 1 + 1 + 5 + 0 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4144311503595 and 4144311503604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320686219 + ... + 320699141.

It is an arithmetic number, because the mean of its divisors is an integer number (22863072960).

Almost surely, 2^{4144311503640} is an apocalyptic number.

4144311503640 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 4144311503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779420016640).

4144311503640 is an abundant number, since it is smaller than the sum of its proper divisors (13414528529640).

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

4144311503640 is a wasteful number, since it uses less digits than its factorization.

4144311503640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13484 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4144311503640 in words is "four trillion, one hundred forty-four billion, three hundred eleven million, five hundred three thousand, six hundred forty".