445470441120 has 144 divisors (see below), whose sum is σ = 1522416659400. Its totient is φ = 118616389632.

The previous prime is 445470441079. The next prime is 445470441121. The reversal of 445470441120 is 21144074544.

445470441120 is a `hidden beast` number, since 44 + 54 + 7 + 0 + 441 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396733697424 + 48736743696 = 629868^2 + 220764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445470441121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746406 + ... + 1203354.

Almost surely, 2^445470441120 is an apocalyptic number.

445470441120 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 445470441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761208329700).

445470441120 is an abundant number, since it is smaller than the sum of its proper divisors (1076946218280).

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

445470441120 is a wasteful number, since it uses less digits than its factorization.

445470441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457647 (or 457636 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 445470441120 in words is "four hundred forty-five billion, four hundred seventy million, four hundred forty-one thousand, one hundred twenty".