445005201550400 has 42 divisors (see below), whose sum is σ = 1094990924068890. Its totient is φ = 178002080619520.

The previous prime is 445005201550339. The next prime is 445005201550453. The reversal of 445005201550400 is 4055102500544.

It can be written as a sum of positive squares in 3 ways, for example, as 39925818041344 + 405079383509056 = 6318688^2 + 20126584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139064123885 + ... + 139064127084.

Almost surely, 2^{445005201550400} is an apocalyptic number.

445005201550400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445005201550400 is an abundant number, since it is smaller than the sum of its proper divisors (649985722518490).

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

445005201550400 is a wasteful number, since it uses less digits than its factorization.

445005201550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278128250991 (or 278128250976 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 445005201550400 in words is "four hundred forty-five trillion, five billion, two hundred one million, five hundred fifty thousand, four hundred".