5440577064000 has 448 divisors, whose sum is σ = 19796663927040. Its totient is φ = 1308071116800.

The previous prime is 5440577063981. The next prime is 5440577064011. The reversal of 5440577064000 is 4607750445.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13213236 + ... + 13618764.

It is an arithmetic number, because the mean of its divisors is an integer number (44188981980).

Almost surely, 2^{5440577064000} is an apocalyptic number.

5440577064000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440577064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9898331963520).

5440577064000 is an abundant number, since it is smaller than the sum of its proper divisors (14356086863040).

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

5440577064000 is a wasteful number, since it uses less digits than its factorization.

5440577064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405615 (or 405595 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 5440577064000 in words is "five trillion, four hundred forty billion, five hundred seventy-seven million, sixty-four thousand".