445105886400 has 3360 divisors, whose sum is σ = 2195145216000. Its totient is φ = 87787929600.

The previous prime is 445105886399. The next prime is 445105886461. The reversal of 445105886400 is 4688501544.

It is a happy number.

445105886400 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 0 + 588 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-3 number, since 3×445105886400³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14358254385 + ... + 14358254415.

Almost surely, 2^445105886400 is an apocalyptic number.

445105886400 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 445105886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097572608000).

445105886400 is an abundant number, since it is smaller than the sum of its proper divisors (1750039329600).

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

445105886400 is a wasteful number, since it uses less digits than its factorization.

445105886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 445105886400 in words is "four hundred forty-five billion, one hundred five million, eight hundred eighty-six thousand, four hundred".