4447408812 has 288 divisors, whose sum is σ = 13928140800. Its totient is φ = 1072621440.

The previous prime is 4447408807. The next prime is 4447408841. The reversal of 4447408812 is 2188047444.

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

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, 22348689 + ... + 22348887.

It is an arithmetic number, because the mean of its divisors is an integer number (48361600).

Almost surely, 2^4447408812 is an apocalyptic number.

4447408812 is a gapful number since it is divisible by the number (42) 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 4447408812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964070400).

4447408812 is an abundant number, since it is smaller than the sum of its proper divisors (9480731988).

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

4447408812 is a wasteful number, since it uses less digits than its factorization.

4447408812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The square root of 4447408812 is about 66688.8957173531. The cubic root of 4447408812 is about 1644.5068396008.

The spelling of 4447408812 in words is "four billion, four hundred forty-seven million, four hundred eight thousand, eight hundred twelve".