4102245200 has 60 divisors (see below), whose sum is σ = 9912780348. Its totient is φ = 1631385600.

The previous prime is 4102245157. The next prime is 4102245229. The reversal of 4102245200 is 25422014.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 409981504 + 3692263696 = 20248^2 + 60764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39560 + ... + 98840.

Almost surely, 2^4102245200 is an apocalyptic number.

4102245200 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 4102245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956390174).

4102245200 is an abundant number, since it is smaller than the sum of its proper divisors (5810535148).

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

4102245200 is a wasteful number, since it uses less digits than its factorization.

4102245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59472 (or 59461 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4102245200 is about 64048.7720413124. The cubic root of 4102245200 is about 1600.8127641474.

Adding to 4102245200 its reverse (25422014), we get a palindrome (4127667214).

The spelling of 4102245200 in words is "four billion, one hundred two million, two hundred forty-five thousand, two hundred".