4114047200 has 144 divisors (see below), whose sum is σ = 10914301440. Its totient is φ = 1508544000.

The previous prime is 4114047137. The next prime is 4114047211. The reversal of 4114047200 is 27404114.

It is a happy number.

4114047200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466835 + ... + 475565.

It is an arithmetic number, because the mean of its divisors is an integer number (75793760).

Almost surely, 2^4114047200 is an apocalyptic number.

4114047200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457150720).

4114047200 is an abundant number, since it is smaller than the sum of its proper divisors (6800254240).

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

4114047200 is a wasteful number, since it uses less digits than its factorization.

4114047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8801 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4114047200 is about 64140.8387846620. The cubic root of 4114047200 is about 1602.3464530001.

The spelling of 4114047200 in words is "four billion, one hundred fourteen million, forty-seven thousand, two hundred".