4540110066000 has 240 divisors, whose sum is σ = 16789862286288. Its totient is φ = 1139478528000.

The previous prime is 4540110065971. The next prime is 4540110066001. The reversal of 4540110066000 is 6600110454.

4540110066000 is a `hidden beast` number, since 4 + 5 + 40 + 1 + 10 + 0 + 6 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1807820080704 + 2732289985296 = 1344552^2 + 1652964^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4540110066000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4540110066001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7112481 + ... + 7724480.

Almost surely, 2^{4540110066000} is an apocalyptic number.

4540110066000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4540110066000 is an abundant number, since it is smaller than the sum of its proper divisors (12249752220288).

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

4540110066000 is a wasteful number, since it uses less digits than its factorization.

4540110066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14837007 (or 14836988 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 4540110066000 its reverse (6600110454), we get a palindrome (4546710176454).

The spelling of 4540110066000 in words is "four trillion, five hundred forty billion, one hundred ten million, sixty-six thousand".