445164819840 has 1536 divisors, whose sum is σ = 1838526336000. Its totient is φ = 101443829760.

The previous prime is 445164819793. The next prime is 445164819863. The reversal of 445164819840 is 48918461544.

445164819840 is a `hidden beast` number, since 4 + 4 + 516 + 4 + 81 + 9 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3939511624 + ... + 3939511736.

It is an arithmetic number, because the mean of its divisors is an integer number (1196957250).

Almost surely, 2^445164819840 is an apocalyptic number.

445164819840 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 445164819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919263168000).

445164819840 is an abundant number, since it is smaller than the sum of its proper divisors (1393361516160).

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

445164819840 is a wasteful number, since it uses less digits than its factorization.

445164819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 445164819840 in words is "four hundred forty-five billion, one hundred sixty-four million, eight hundred nineteen thousand, eight hundred forty".