4398410016 has 864 divisors, whose sum is σ = 18055739520. Its totient is φ = 985374720.

The previous prime is 4398410011. The next prime is 4398410021. The reversal of 4398410016 is 6100148934.

It is an interprime number because it is at equal distance from previous prime (4398410011) and next prime (4398410021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4398410011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60252156 + ... + 60252228.

Almost surely, 2^4398410016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4398410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027869760).

4398410016 is an abundant number, since it is smaller than the sum of its proper divisors (13657329504).

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

4398410016 is a wasteful number, since it uses less digits than its factorization.

4398410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4398410016 is about 66320.5097688490. The cubic root of 4398410016 is about 1638.4451374652.

It can be divided in two parts, 4398 and 410016, that added together give a palindrome (414414).

The spelling of 4398410016 in words is "four billion, three hundred ninety-eight million, four hundred ten thousand, sixteen".