5340330400 has 72 divisors (see below), whose sum is σ = 13250925324. Its totient is φ = 2101094400.

The previous prime is 5340330379. The next prime is 5340330407. The reversal of 5340330400 is 40330435.

It can be written as a sum of positive squares in 6 ways, for example, as 1721586064 + 3618744336 = 41492^2 + 60156^2 .

It is not an unprimeable number, because it can be changed into a prime (5340330407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5917 + ... + 103516.

Almost surely, 2^5340330400 is an apocalyptic number.

5340330400 is a gapful number since it is divisible by the number (50) 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 5340330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625462662).

5340330400 is an abundant number, since it is smaller than the sum of its proper divisors (7910594924).

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

5340330400 is a wasteful number, since it uses less digits than its factorization.

5340330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109514 (or 109501 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 5340330400 is about 73077.5642724906. The cubic root of 5340330400 is about 1747.9246581724.

Adding to 5340330400 its reverse (40330435), we get a palindrome (5380660835).

The spelling of 5340330400 in words is "five billion, three hundred forty million, three hundred thirty thousand, four hundred".