45035445241200 has 240 divisors, whose sum is σ = 145633910083200. Its totient is φ = 11895407784960.

The previous prime is 45035445241169. The next prime is 45035445241229. The reversal of 45035445241200 is 214254453054.

45035445241200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988528822 + ... + 988574378.

It is an arithmetic number, because the mean of its divisors is an integer number (606807958680).

Almost surely, 2^{45035445241200} is an apocalyptic number.

45035445241200 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 45035445241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72816955041600).

45035445241200 is an abundant number, since it is smaller than the sum of its proper divisors (100598464842000).

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

45035445241200 is a wasteful number, since it uses less digits than its factorization.

45035445241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53384 (or 53373 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 45035445241200 its reverse (214254453054), we get a palindrome (45249699694254).

The spelling of 45035445241200 in words is "forty-five trillion, thirty-five billion, four hundred forty-five million, two hundred forty-one thousand, two hundred".