445219504128 has 640 divisors, whose sum is σ = 1571229411840. Its totient is φ = 122942914560.

The previous prime is 445219504123. The next prime is 445219504133. The reversal of 445219504128 is 821405912544.

445219504128 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 19 + 504 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (445219504123) and next prime (445219504133).

It is not an unprimeable number, because it can be changed into a prime (445219504123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 575962750 + ... + 575963522.

It is an arithmetic number, because the mean of its divisors is an integer number (2455045956).

Almost surely, 2^445219504128 is an apocalyptic number.

445219504128 is a gapful number since it is divisible by the number (48) 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 445219504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785614705920).

445219504128 is an abundant number, since it is smaller than the sum of its proper divisors (1126009907712).

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

445219504128 is an frugal number, since it uses more digits than its factorization.

445219504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 445219504128 in words is "four hundred forty-five billion, two hundred nineteen million, five hundred four thousand, one hundred twenty-eight".