5214400240 has 40 divisors (see below), whose sum is σ = 13855407840. Its totient is φ = 1787794176.

The previous prime is 5214400211. The next prime is 5214400241. The reversal of 5214400240 is 420044125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214400241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4655155 + ... + 4656274.

It is an arithmetic number, because the mean of its divisors is an integer number (346385196).

Almost surely, 2^5214400240 is an apocalyptic number.

It is an amenable number.

5214400240 is an abundant number, since it is smaller than the sum of its proper divisors (8641007600).

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

5214400240 is a wasteful number, since it uses less digits than its factorization.

5214400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311449 (or 9311443 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 5214400240 is about 72210.8041777683. The cubic root of 5214400240 is about 1734.0759740147.

Adding to 5214400240 its reverse (420044125), we get a palindrome (5634444365).

The spelling of 5214400240 in words is "five billion, two hundred fourteen million, four hundred thousand, two hundred forty".