5353135440 has 240 divisors, whose sum is σ = 17810342208. Its totient is φ = 1329692672.

The previous prime is 5353135409. The next prime is 5353135451. The reversal of 5353135440 is 445313535.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7837339 + ... + 7838021.

Almost surely, 2^5353135440 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 5353135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905171104).

5353135440 is an abundant number, since it is smaller than the sum of its proper divisors (12457206768).

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

5353135440 is a wasteful number, since it uses less digits than its factorization.

5353135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 5353135440 is about 73165.1244788116. The cubic root of 5353135440 is about 1749.3206004897.

Adding to 5353135440 its reverse (445313535), we get a palindrome (5798448975).

The spelling of 5353135440 in words is "five billion, three hundred fifty-three million, one hundred thirty-five thousand, four hundred forty".