445755652223440 has 160 divisors (see below), whose sum is σ = 1150568823882240. Its totient is φ = 159580697038848.

The previous prime is 445755652223429. The next prime is 445755652223449. The reversal of 445755652223440 is 44322256557544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445755652223449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45278232 + ... + 54236791.

It is an arithmetic number, because the mean of its divisors is an integer number (7191055149264).

Almost surely, 2^{445755652223440} is an apocalyptic number.

445755652223440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445755652223440 is an abundant number, since it is smaller than the sum of its proper divisors (704813171658800).

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

445755652223440 is a wasteful number, since it uses less digits than its factorization.

445755652223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99515181 (or 99515175 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 58.

The spelling of 445755652223440 in words is "four hundred forty-five trillion, seven hundred fifty-five billion, six hundred fifty-two million, two hundred twenty-three thousand, four hundred forty".