45509213940480 has 288 divisors, whose sum is σ = 161593355851200. Its totient is φ = 12128361873408.

The previous prime is 45509213940469. The next prime is 45509213940643. The reversal of 45509213940480 is 8404931290554.

It is a happy number.

45509213940480 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 92 + 1 + 39 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56172516 + ... + 56976924.

It is an arithmetic number, because the mean of its divisors is an integer number (561088041150).

Almost surely, 2^{45509213940480} is an apocalyptic number.

45509213940480 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 45509213940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80796677925600).

45509213940480 is an abundant number, since it is smaller than the sum of its proper divisors (116084141910720).

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

45509213940480 is a wasteful number, since it uses less digits than its factorization.

45509213940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806076 (or 806056 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45509213940480 in words is "forty-five trillion, five hundred nine billion, two hundred thirteen million, nine hundred forty thousand, four hundred eighty".