45413240221200 has 240 divisors, whose sum is σ = 146029511745216. Its totient is φ = 12063950284800.

The previous prime is 45413240221163. The next prime is 45413240221231. The reversal of 45413240221200 is 212204231454.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2012005915 + ... + 2012028485.

Almost surely, 2^{45413240221200} is an apocalyptic number.

45413240221200 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 45413240221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73014755872608).

45413240221200 is an abundant number, since it is smaller than the sum of its proper divisors (100616271524016).

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

45413240221200 is a wasteful number, since it uses less digits than its factorization.

45413240221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28922 (or 28911 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 45413240221200 its reverse (212204231454), we get a palindrome (45625444452654).

The spelling of 45413240221200 in words is "forty-five trillion, four hundred thirteen billion, two hundred forty million, two hundred twenty-one thousand, two hundred".