4540242550400 has 192 divisors, whose sum is σ = 11937130985880. Its totient is φ = 1700407541760.

The previous prime is 4540242550397. The next prime is 4540242550411. The reversal of 4540242550400 is 40552420454.

It can be written as a sum of positive squares in 12 ways, for example, as 1020536366656 + 3519706183744 = 1010216^2 + 1876088^2 .

It is a super-2 number, since 2×4540242550400² (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 23 ways as a sum of consecutive naturals, for example, 10282982 + ... + 10715418.

Almost surely, 2^{4540242550400} is an apocalyptic number.

4540242550400 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 4540242550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968565492940).

4540242550400 is an abundant number, since it is smaller than the sum of its proper divisors (7396888435480).

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

4540242550400 is a wasteful number, since it uses less digits than its factorization.

4540242550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432671 (or 432654 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 4540242550400 its reverse (40552420454), we get a palindrome (4580794970854).

The spelling of 4540242550400 in words is "four trillion, five hundred forty billion, two hundred forty-two million, five hundred fifty thousand, four hundred".