5440406458368 has 624 divisors, whose sum is σ = 17845989880320. Its totient is φ = 1467364147200.

The previous prime is 5440406458367. The next prime is 5440406458397. The reversal of 5440406458368 is 8638546040445.

It is not an unprimeable number, because it can be changed into a prime (5440406458367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765280798 + ... + 765287906.

Almost surely, 2^{5440406458368} 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 5440406458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922994940160).

5440406458368 is an abundant number, since it is smaller than the sum of its proper divisors (12405583421952).

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

5440406458368 is a wasteful number, since it uses less digits than its factorization.

5440406458368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 57.

The spelling of 5440406458368 in words is "five trillion, four hundred forty billion, four hundred six million, four hundred fifty-eight thousand, three hundred sixty-eight".