4402420416 has 112 divisors (see below), whose sum is σ = 12963042400. Its totient is φ = 1465122816.

The previous prime is 4402420411. The next prime is 4402420423. The reversal of 4402420416 is 6140242044.

It is a happy number.

4402420416 is a `hidden beast` number, since 4 + 4 + 0 + 242 + 0 + 416 = 666.

It is a super-2 number, since 2×4402420416² = 38762611038427226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4402420416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402420411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327176 + ... + 1330488.

It is an arithmetic number, because the mean of its divisors is an integer number (115741450).

Almost surely, 2^4402420416 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 4402420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481521200).

4402420416 is an abundant number, since it is smaller than the sum of its proper divisors (8560621984).

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

4402420416 is a wasteful number, since it uses less digits than its factorization.

4402420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4402420416 is about 66350.7378708029. The cubic root of 4402420416 is about 1638.9429555639.

The spelling of 4402420416 in words is "four billion, four hundred two million, four hundred twenty thousand, four hundred sixteen".