45512009802240 has 1280 divisors, whose sum is σ = 163531310469120. Its totient is φ = 10743844700160.

The previous prime is 45512009802157. The next prime is 45512009802283. The reversal of 45512009802240 is 4220890021554.

45512009802240 is digitally balanced in base 5, 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 (1280).

It is a junction number, because it is equal to n+sod(n) for n = 45512009802192 and 45512009802201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58877114494 + ... + 58877115266.

It is an arithmetic number, because the mean of its divisors is an integer number (127758836304).

Almost surely, 2^{45512009802240} is an apocalyptic number.

45512009802240 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 45512009802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81765655234560).

45512009802240 is an abundant number, since it is smaller than the sum of its proper divisors (118019300666880).

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

45512009802240 is a wasteful number, since it uses less digits than its factorization.

45512009802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

Adding to 45512009802240 its reverse (4220890021554), we get a palindrome (49732899823794).

The spelling of 45512009802240 in words is "forty-five trillion, five hundred twelve billion, nine million, eight hundred two thousand, two hundred forty".