45073035310400 has 84 divisors (see below), whose sum is σ = 110911093311228. Its totient is φ = 18028684861440.

The previous prime is 45073035310343. The next prime is 45073035310417. The reversal of 45073035310400 is 401353037054.

It can be written as a sum of positive squares in 6 ways, for example, as 11172600391936 + 33900434918464 = 3342544^2 + 5822408^2 .

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 11 ways as a sum of consecutive naturals, for example, 56559512 + ... + 57350888.

It is an arithmetic number, because the mean of its divisors is an integer number (1320370158467).

Almost surely, 2^{45073035310400} is an apocalyptic number.

45073035310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45073035310400 is an abundant number, since it is smaller than the sum of its proper divisors (65838058000828).

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

45073035310400 is a wasteful number, since it uses less digits than its factorization.

45073035310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826996 (or 826981 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

Adding to 45073035310400 its reverse (401353037054), we get a palindrome (45474388347454).

The spelling of 45073035310400 in words is "forty-five trillion, seventy-three billion, thirty-five million, three hundred ten thousand, four hundred".