5440071310128 has 360 divisors, whose sum is σ = 19121786283600. Its totient is φ = 1431046407168.

The previous prime is 5440071310111. The next prime is 5440071310147. The reversal of 5440071310128 is 8210131700445.

5440071310128 is a `hidden beast` number, since 54 + 400 + 71 + 3 + 10 + 128 = 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 = 5440071310092 and 5440071310101.

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, 35605963 + ... + 35758421.

It is an arithmetic number, because the mean of its divisors is an integer number (53116073010).

Almost surely, 2^{5440071310128} 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 5440071310128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9560893141800).

5440071310128 is an abundant number, since it is smaller than the sum of its proper divisors (13681714973472).

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

5440071310128 is a wasteful number, since it uses less digits than its factorization.

5440071310128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152889 (or 152873 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 5440071310128 in words is "five trillion, four hundred forty billion, seventy-one million, three hundred ten thousand, one hundred twenty-eight".