5840016400 has 45 divisors (see below), whose sum is σ = 14034312343. Its totient is φ = 2335395200.

The previous prime is 5840016383. The next prime is 5840016439. The reversal of 5840016400 is 46100485.

The square root of 5840016400 is 76420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 572740624 + 5267275776 = 23932^2 + 72576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1526490 + ... + 1530310.

Almost surely, 2^5840016400 is an apocalyptic number.

5840016400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5840016400 is the 76420-th square number.

It is an amenable number.

5840016400 is an abundant number, since it is smaller than the sum of its proper divisors (8194295943).

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

5840016400 is an frugal number, since it uses more digits than its factorization.

5840016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 5840016400 is about 1800.8243549187.

Adding to 5840016400 its reverse (46100485), we get a palindrome (5886116885).

The spelling of 5840016400 in words is "five billion, eight hundred forty million, sixteen thousand, four hundred".