4540240224400 has 30 divisors (see below), whose sum is σ = 10907927140082. Its totient is φ = 1816096089600.

The previous prime is 4540240224389. The next prime is 4540240224427. The reversal of 4540240224400 is 44220420454.

It can be written as a sum of positive squares in 3 ways, for example, as 1242921738496 + 3297318485904 = 1114864^2 + 1815852^2 .

It is a super-2 number, since 2×4540240224400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5675299881 + ... + 5675300680.

Almost surely, 2^{4540240224400} is an apocalyptic number.

4540240224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4540240224400 is an abundant number, since it is smaller than the sum of its proper divisors (6367686915682).

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

4540240224400 is a wasteful number, since it uses less digits than its factorization.

4540240224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350600579 (or 11350600568 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 31.

Adding to 4540240224400 its reverse (44220420454), we get a palindrome (4584460644854).

The spelling of 4540240224400 in words is "four trillion, five hundred forty billion, two hundred forty million, two hundred twenty-four thousand, four hundred".