4211880192 has 324 divisors, whose sum is σ = 13639806180. Its totient is φ = 1247920128.

The previous prime is 4211880191. The next prime is 4211880209. The reversal of 4211880192 is 2910881124.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 513294336 + 3698585856 = 22656^2 + 60816^2 .

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 (4211880191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11291718 + ... + 11292090.

Almost surely, 2^4211880192 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 4211880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819903090).

4211880192 is an abundant number, since it is smaller than the sum of its proper divisors (9427925988).

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

4211880192 is a wasteful number, since it uses less digits than its factorization.

4211880192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4211880192 is about 64898.9999306615. Note that the first 4 decimals coincide. The cubic root of 4211880192 is about 1614.9484712318.

The spelling of 4211880192 in words is "four billion, two hundred eleven million, eight hundred eighty thousand, one hundred ninety-two".