445773764324400 has 120 divisors (see below), whose sum is σ = 1433391472550400. Its totient is φ = 118421015128320.

The previous prime is 445773764324377. The next prime is 445773764324477. The reversal of 445773764324400 is 4423467377544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705916600 + ... + 706547799.

It is an arithmetic number, because the mean of its divisors is an integer number (11944928937920).

Almost surely, 2^{445773764324400} is an apocalyptic number.

445773764324400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445773764324400 is an abundant number, since it is smaller than the sum of its proper divisors (987617708226000).

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

445773764324400 is a wasteful number, since it uses less digits than its factorization.

445773764324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412464683 (or 1412464672 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 60.

The spelling of 445773764324400 in words is "four hundred forty-five trillion, seven hundred seventy-three billion, seven hundred sixty-four million, three hundred twenty-four thousand, four hundred".