445136464400 has 120 divisors (see below), whose sum is σ = 1094849463840. Its totient is φ = 173828229120.

The previous prime is 445136464379. The next prime is 445136464403. The reversal of 445136464400 is 4464631544.

It is not an unprimeable number, because it can be changed into a prime (445136464403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43665704 + ... + 43675896.

It is an arithmetic number, because the mean of its divisors is an integer number (9123745532).

Almost surely, 2^445136464400 is an apocalyptic number.

445136464400 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 445136464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547424731920).

445136464400 is an abundant number, since it is smaller than the sum of its proper divisors (649712999440).

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

445136464400 is a wasteful number, since it uses less digits than its factorization.

445136464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 445136464400 in words is "four hundred forty-five billion, one hundred thirty-six million, four hundred sixty-four thousand, four hundred".