5408521344 has 192 divisors, whose sum is σ = 16275987000. Its totient is φ = 1721696256.

The previous prime is 5408521303. The next prime is 5408521379. The reversal of 5408521344 is 4431258045.

It is a happy number.

5408521344 is a `hidden beast` number, since 540 + 85 + 2 + 1 + 34 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4629441600 + 779079744 = 68040^2 + 27912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5408521299 and 5408521308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239742 + ... + 3241410.

Almost surely, 2^5408521344 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 5408521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8137993500).

5408521344 is an abundant number, since it is smaller than the sum of its proper divisors (10867465656).

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

5408521344 is a wasteful number, since it uses less digits than its factorization.

5408521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5408521344 is about 73542.6498298776. The cubic root of 5408521344 is about 1755.3329935260.

Adding to 5408521344 its reverse (4431258045), we get a palindrome (9839779389).

The spelling of 5408521344 in words is "five billion, four hundred eight million, five hundred twenty-one thousand, three hundred forty-four".