4416398021412 has 144 divisors (see below), whose sum is σ = 12080509721280. Its totient is φ = 1352341267200.

The previous prime is 4416398021411. The next prime is 4416398021437. The reversal of 4416398021412 is 2141208936144.

4416398021412 is a `hidden beast` number, since 4 + 4 + 1 + 639 + 8 + 0 + 2 + 1 + 4 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4416398021411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81741487 + ... + 81795497.

It is an arithmetic number, because the mean of its divisors is an integer number (83892428620).

Almost surely, 2^{4416398021412} 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 4416398021412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040254860640).

4416398021412 is an abundant number, since it is smaller than the sum of its proper divisors (7664111699868).

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

4416398021412 is a wasteful number, since it uses less digits than its factorization.

4416398021412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54874 (or 54869 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4416398021412 in words is "four trillion, four hundred sixteen billion, three hundred ninety-eight million, twenty-one thousand, four hundred twelve".