5361103440 has 720 divisors, whose sum is σ = 23154768000. Its totient is φ = 1087764480.

The previous prime is 5361103421. The next prime is 5361103453. The reversal of 5361103440 is 443011635.

5361103440 is a `hidden beast` number, since 5 + 3 + 611 + 0 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35980486 + ... + 35980634.

It is an arithmetic number, because the mean of its divisors is an integer number (32159400).

Almost surely, 2^5361103440 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 5361103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577384000).

5361103440 is an abundant number, since it is smaller than the sum of its proper divisors (17793664560).

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

5361103440 is a wasteful number, since it uses less digits than its factorization.

5361103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5361103440 is about 73219.5564040100. The cubic root of 5361103440 is about 1750.1881093030.

It can be divided in two parts, 5361 and 103440, that added together give a palindrome (108801).

The spelling of 5361103440 in words is "five billion, three hundred sixty-one million, one hundred three thousand, four hundred forty".