45530340541200 has 360 divisors, whose sum is σ = 163467494910720. Its totient is φ = 11721593318400.

The previous prime is 45530340541183. The next prime is 45530340541207. The reversal of 45530340541200 is 214504303554.

45530340541200 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 0 + 3 + 405 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45530340541207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1679886849 + ... + 1679913951.

It is an arithmetic number, because the mean of its divisors is an integer number (454076374752).

Almost surely, 2^{45530340541200} is an apocalyptic number.

45530340541200 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 45530340541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81733747455360).

45530340541200 is an abundant number, since it is smaller than the sum of its proper divisors (117937154369520).

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

45530340541200 is a wasteful number, since it uses less digits than its factorization.

45530340541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43247 (or 43233 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 45530340541200 its reverse (214504303554), we get a palindrome (45744844844754).

The spelling of 45530340541200 in words is "forty-five trillion, five hundred thirty billion, three hundred forty million, five hundred forty-one thousand, two hundred".