45401241200 has 120 divisors (see below), whose sum is σ = 124794691200. Its totient is φ = 15549177600.

The previous prime is 45401241191. The next prime is 45401241211. The reversal of 45401241200 is 214210454.

It is a super-2 number, since 2×45401241200² (a number of 22 digits) contains 22 as substring.

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, 2710451 + ... + 2727149.

It is an arithmetic number, because the mean of its divisors is an integer number (1039955760).

Almost surely, 2^45401241200 is an apocalyptic number.

45401241200 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 45401241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62397345600).

45401241200 is an abundant number, since it is smaller than the sum of its proper divisors (79393450000).

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

45401241200 is a wasteful number, since it uses less digits than its factorization.

45401241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17695 (or 17684 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 45401241200 its reverse (214210454), we get a palindrome (45615451654).

The spelling of 45401241200 in words is "forty-five billion, four hundred one million, two hundred forty-one thousand, two hundred".