45013841340000 has 1920 divisors, whose sum is σ = 172643864279040. Its totient is φ = 10167386112000.

The previous prime is 45013841339977. The next prime is 45013841340001. The reversal of 45013841340000 is 4314831054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45013841340001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 101611379779 + ... + 101611380221.

It is an arithmetic number, because the mean of its divisors is an integer number (89918679312).

Almost surely, 2^{45013841340000} is an apocalyptic number.

45013841340000 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 45013841340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86321932139520).

45013841340000 is an abundant number, since it is smaller than the sum of its proper divisors (127630022939040).

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

45013841340000 is a wasteful number, since it uses less digits than its factorization.

45013841340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 45013841340000 in words is "forty-five trillion, thirteen billion, eight hundred forty-one million, three hundred forty thousand".