45441143331200 has 192 divisors, whose sum is σ = 113249750458320. Its totient is φ = 18015608832000.

The previous prime is 45441143331197. The next prime is 45441143331251. The reversal of 45441143331200 is 213334114454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281810600 + ... + 281971800.

Almost surely, 2^{45441143331200} is an apocalyptic number.

45441143331200 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 45441143331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56624875229160).

45441143331200 is an abundant number, since it is smaller than the sum of its proper divisors (67808607127120).

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

45441143331200 is a wasteful number, since it uses less digits than its factorization.

45441143331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162005 (or 161988 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 45441143331200 its reverse (213334114454), we get a palindrome (45654477445654).

The spelling of 45441143331200 in words is "forty-five trillion, four hundred forty-one billion, one hundred forty-three million, three hundred thirty-one thousand, two hundred".