5442404708520 has 1536 divisors, whose sum is σ = 21715610112000. Its totient is φ = 1203321692160.

The previous prime is 5442404708509. The next prime is 5442404708557. The reversal of 5442404708520 is 258074042445.

5442404708520 is a `hidden beast` number, since 5 + 4 + 42 + 40 + 47 + 0 + 8 + 520 = 666.

It is a super-2 number, since 2×5442404708520² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8966070057 + ... + 8966070663.

It is an arithmetic number, because the mean of its divisors is an integer number (14137767000).

Almost surely, 2^{5442404708520} 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 5442404708520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857805056000).

5442404708520 is an abundant number, since it is smaller than the sum of its proper divisors (16273205403480).

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

5442404708520 is a wasteful number, since it uses less digits than its factorization.

5442404708520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 5442404708520 in words is "five trillion, four hundred forty-two billion, four hundred four million, seven hundred eight thousand, five hundred twenty".