4417798840 has 512 divisors, whose sum is σ = 13934592000. Its totient is φ = 1246371840.

The previous prime is 4417798829. The next prime is 4417798843. The reversal of 4417798840 is 488977144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417798843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93995697 + ... + 93995743.

It is an arithmetic number, because the mean of its divisors is an integer number (27216000).

Almost surely, 2^4417798840 is an apocalyptic number.

4417798840 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 4417798840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296000).

4417798840 is an abundant number, since it is smaller than the sum of its proper divisors (9516793160).

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

4417798840 is a wasteful number, since it uses less digits than its factorization.

4417798840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The square root of 4417798840 is about 66466.5242057985. The cubic root of 4417798840 is about 1640.8491091779.

The spelling of 4417798840 in words is "four billion, four hundred seventeen million, seven hundred ninety-eight thousand, eight hundred forty".