5404844824704 has 1024 divisors, whose sum is σ = 19199037312000. Its totient is φ = 1479901446144.

The previous prime is 5404844824693. The next prime is 5404844824723. The reversal of 5404844824704 is 4074284484045.

It is a happy number.

5404844824704 is a `hidden beast` number, since 5 + 40 + 4 + 84 + 482 + 47 + 0 + 4 = 666.

It is a super-2 number, since 2×5404844824704² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 1563447744 + ... + 1563451200.

It is an arithmetic number, because the mean of its divisors is an integer number (18749059875).

Almost surely, 2^{5404844824704} is an apocalyptic number.

5404844824704 is a gapful number since it is divisible by the number (54) 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 5404844824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599518656000).

5404844824704 is an abundant number, since it is smaller than the sum of its proper divisors (13794192487296).

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

5404844824704 is a wasteful number, since it uses less digits than its factorization.

5404844824704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 54.

The spelling of 5404844824704 in words is "five trillion, four hundred four billion, eight hundred forty-four million, eight hundred twenty-four thousand, seven hundred four".