445114406880 has 576 divisors, whose sum is σ = 1797457858560. Its totient is φ = 98883072000.

The previous prime is 445114406873. The next prime is 445114406903. The reversal of 445114406880 is 88604411544.

445114406880 is a `hidden beast` number, since 445 + 1 + 144 + 0 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28615105 + ... + 28630655.

It is an arithmetic number, because the mean of its divisors is an integer number (3120586560).

Almost surely, 2^445114406880 is an apocalyptic number.

445114406880 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 445114406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898728929280).

445114406880 is an abundant number, since it is smaller than the sum of its proper divisors (1352343451680).

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

445114406880 is a wasteful number, since it uses less digits than its factorization.

445114406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15735 (or 15724 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 445114406880 in words is "four hundred forty-five billion, one hundred fourteen million, four hundred six thousand, eight hundred eighty".