445514005200 has 240 divisors, whose sum is σ = 1558204393536. Its totient is φ = 107910758400.

The previous prime is 445514005199. The next prime is 445514005207. The reversal of 445514005200 is 2500415544.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445514005207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16050534 + ... + 16078266.

Almost surely, 2^445514005200 is an apocalyptic number.

445514005200 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 445514005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779102196768).

445514005200 is an abundant number, since it is smaller than the sum of its proper divisors (1112690388336).

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

445514005200 is a wasteful number, since it uses less digits than its factorization.

445514005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28982 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 445514005200 in words is "four hundred forty-five billion, five hundred fourteen million, five thousand, two hundred".