5440436305920 has 1800 divisors, whose sum is σ = 24520289991120. Its totient is φ = 1130480271360.

The previous prime is 5440436305877. The next prime is 5440436305939. The reversal of 5440436305920 is 295036340445.

5440436305920 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 4 + 3 + 630 + 5 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 494585118715 + ... + 494585118725.

Almost surely, 2^{5440436305920} 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 5440436305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260144995560).

5440436305920 is an abundant number, since it is smaller than the sum of its proper divisors (19079853685200).

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

5440436305920 is an frugal number, since it uses more digits than its factorization.

5440436305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 5440436305920 in words is "five trillion, four hundred forty billion, four hundred thirty-six million, three hundred five thousand, nine hundred twenty".