44133144124140 has 216 divisors, whose sum is σ = 142374575895552. Its totient is φ = 11063617843200.

The previous prime is 44133144124133. The next prime is 44133144124177. The reversal of 44133144124140 is 4142144133144.

44133144124140 is a `hidden beast` number, since 4 + 4 + 1 + 331 + 4 + 41 + 241 + 40 = 666.

It is a super-3 number, since 3×44133144124140³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 44133144124095 and 44133144124104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44086165 + ... + 45076115.

It is an arithmetic number, because the mean of its divisors is an integer number (659141555072).

Almost surely, 2^{44133144124140} 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 44133144124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71187287947776).

44133144124140 is an abundant number, since it is smaller than the sum of its proper divisors (98241431771412).

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

44133144124140 is a wasteful number, since it uses less digits than its factorization.

44133144124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990857 (or 990835 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 44133144124140 its reverse (4142144133144), we get a palindrome (48275288257284).

The spelling of 44133144124140 in words is "forty-four trillion, one hundred thirty-three billion, one hundred forty-four million, one hundred twenty-four thousand, one hundred forty".