4417379966208 has 864 divisors, whose sum is σ = 14106900487680. Its totient is φ = 1221986304000.

The previous prime is 4417379966201. The next prime is 4417379966231. The reversal of 4417379966208 is 8026699737144.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417379966201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6301540258 + ... + 6301540958.

It is an arithmetic number, because the mean of its divisors is an integer number (16327431120).

Almost surely, 2^{4417379966208} is an apocalyptic number.

4417379966208 is a gapful number since it is divisible by the number (48) 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 4417379966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053450243840).

4417379966208 is an abundant number, since it is smaller than the sum of its proper divisors (9689520521472).

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

4417379966208 is a wasteful number, since it uses less digits than its factorization.

4417379966208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 4417379966208 in words is "four trillion, four hundred seventeen billion, three hundred seventy-nine million, nine hundred sixty-six thousand, two hundred eight".