445124095680 has 448 divisors, whose sum is σ = 1578566320128. Its totient is φ = 105343856640.

The previous prime is 445124095651. The next prime is 445124095739. The reversal of 445124095680 is 86590421544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249648069 + ... + 249649851.

It is an arithmetic number, because the mean of its divisors is an integer number (3523585536).

Almost surely, 2^445124095680 is an apocalyptic number.

445124095680 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 445124095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789283160064).

445124095680 is an abundant number, since it is smaller than the sum of its proper divisors (1133442224448).

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

445124095680 is a wasteful number, since it uses less digits than its factorization.

445124095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 445124095680 in words is "four hundred forty-five billion, one hundred twenty-four million, ninety-five thousand, six hundred eighty".