4540205143200 has 72 divisors (see below), whose sum is σ = 14778367748928. Its totient is φ = 1210721370880.

The previous prime is 4540205143193. The next prime is 4540205143213. The reversal of 4540205143200 is 23415020454.

It is a super-2 number, since 2×4540205143200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 945873672 + ... + 945878471.

It is an arithmetic number, because the mean of its divisors is an integer number (205255107624).

Almost surely, 2^{4540205143200} is an apocalyptic number.

4540205143200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4540205143200 is an abundant number, since it is smaller than the sum of its proper divisors (10238162605728).

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

4540205143200 is a wasteful number, since it uses less digits than its factorization.

4540205143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891752166 (or 1891752153 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 4540205143200 in words is "four trillion, five hundred forty billion, two hundred five million, one hundred forty-three thousand, two hundred".