4445373307200 has 672 divisors, whose sum is σ = 17116472475648. Its totient is φ = 988870656000.

The previous prime is 4445373307183. The next prime is 4445373307213. The reversal of 4445373307200 is 27033735444.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4445373307200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593741857 + ... + 593749343.

It is an arithmetic number, because the mean of its divisors is an integer number (25470941184).

Almost surely, 2^{4445373307200} is an apocalyptic number.

4445373307200 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 4445373307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558236237824).

4445373307200 is an abundant number, since it is smaller than the sum of its proper divisors (12671099168448).

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

4445373307200 is a wasteful number, since it uses less digits than its factorization.

4445373307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7976 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 42.

The spelling of 4445373307200 in words is "four trillion, four hundred forty-five billion, three hundred seventy-three million, three hundred seven thousand, two hundred".