5340424400 has 60 divisors (see below), whose sum is σ = 12924154572. Its totient is φ = 2120555520.

The previous prime is 5340424379. The next prime is 5340424403. The reversal of 5340424400 is 44240435.

It can be written as a sum of positive squares in 6 ways, for example, as 322624 + 5340101776 = 568^2 + 73076^2 .

It is a super-3 number, since 3×5340424400³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5340424400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340424403) 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, 6074 + ... + 103526.

Almost surely, 2^5340424400 is an apocalyptic number.

5340424400 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 5340424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462077286).

5340424400 is an abundant number, since it is smaller than the sum of its proper divisors (7583730172).

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

5340424400 is a wasteful number, since it uses less digits than its factorization.

5340424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97608 (or 97597 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 5340424400 is about 73078.2074219120. The cubic root of 5340424400 is about 1747.9349137148.

Adding to 5340424400 its reverse (44240435), we get a palindrome (5384664835).

The spelling of 5340424400 in words is "five billion, three hundred forty million, four hundred twenty-four thousand, four hundred".