4402377216 has 400 divisors, whose sum is σ = 14299412160. Its totient is φ = 1343692800.

The previous prime is 4402377211. The next prime is 4402377229. The reversal of 4402377216 is 6127732044.

4402377216 is a `hidden beast` number, since 4 + 402 + 37 + 7 + 216 = 666.

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 (4402377211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29154741 + ... + 29154891.

Almost surely, 2^4402377216 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 4402377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149706080).

4402377216 is an abundant number, since it is smaller than the sum of its proper divisors (9897034944).

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

4402377216 is a wasteful number, since it uses less digits than its factorization.

4402377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4402377216 is about 66350.4123272795. The cubic root of 4402377216 is about 1638.9375946820.

The spelling of 4402377216 in words is "four billion, four hundred two million, three hundred seventy-seven thousand, two hundred sixteen".