4540406400 has 288 divisors, whose sum is σ = 16804132800. Its totient is φ = 1210567680.

The previous prime is 4540406389. The next prime is 4540406447. The reversal of 4540406400 is 46040454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 774681 + ... + 780519.

Almost surely, 2^4540406400 is an apocalyptic number.

4540406400 is a gapful number since it is divisible by the number (40) 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 4540406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402066400).

4540406400 is an abundant number, since it is smaller than the sum of its proper divisors (12263726400).

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

4540406400 is an equidigital number, since it uses as much as digits as its factorization.

4540406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4540406400 is about 67382.5377972661. The cubic root of 4540406400 is about 1655.8903519083.

Adding to 4540406400 its reverse (46040454), we get a palindrome (4586446854).

The spelling of 4540406400 in words is "four billion, five hundred forty million, four hundred six thousand, four hundred".