4144032124140 has 96 divisors (see below), whose sum is σ = 11920449026304. Its totient is φ = 1074887435520.

The previous prime is 4144032124097. The next prime is 4144032124151. The reversal of 4144032124140 is 414212304414.

It is a happy number.

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 = 4144032124098 and 4144032124107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7206747 + ... + 7760493.

It is an arithmetic number, because the mean of its divisors is an integer number (124171344024).

Almost surely, 2^{4144032124140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144032124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960224513152).

4144032124140 is an abundant number, since it is smaller than the sum of its proper divisors (7776416902164).

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

4144032124140 is a wasteful number, since it uses less digits than its factorization.

4144032124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557167 (or 557165 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4144032124140 its reverse (414212304414), we get a palindrome (4558244428554).

The spelling of 4144032124140 in words is "four trillion, one hundred forty-four billion, thirty-two million, one hundred twenty-four thousand, one hundred forty".