4417220315904 has 216 divisors, whose sum is σ = 12929821561776. Its totient is φ = 1337757696000.

The previous prime is 4417220315887. The next prime is 4417220315917. The reversal of 4417220315904 is 4095130227144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167350132 + ... + 167376524.

Almost surely, 2^{4417220315904} is an apocalyptic number.

4417220315904 is a gapful number since it is divisible by the number (44) 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 4417220315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464910780888).

4417220315904 is an abundant number, since it is smaller than the sum of its proper divisors (8512601245872).

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

4417220315904 is a wasteful number, since it uses less digits than its factorization.

4417220315904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28235 (or 28210 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 4417220315904 in words is "four trillion, four hundred seventeen billion, two hundred twenty million, three hundred fifteen thousand, nine hundred four".