45032310400000 has 1056 divisors, whose sum is σ = 147681597772800. Its totient is φ = 13295923200000.

The previous prime is 45032310399997. The next prime is 45032310400001. The reversal of 45032310400000 is 401323054.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45032310400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4681595191 + ... + 4681604809.

Almost surely, 2^{45032310400000} is an apocalyptic number.

45032310400000 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 45032310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73840798886400).

45032310400000 is an abundant number, since it is smaller than the sum of its proper divisors (102649287372800).

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

45032310400000 is an equidigital number, since it uses as much as digits as its factorization.

45032310400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 45032310400000 its reverse (401323054), we get a palindrome (45032711723054).

The spelling of 45032310400000 in words is "forty-five trillion, thirty-two billion, three hundred ten million, four hundred thousand".