4251040200 has 288 divisors, whose sum is σ = 15939649440. Its totient is φ = 1006387200.

The previous prime is 4251040151. The next prime is 4251040201. The reversal of 4251040200 is 20401524.

4251040200 is a `hidden beast` number, since 425 + 1 + 0 + 40 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4251040201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 848904 + ... + 853896.

It is an arithmetic number, because the mean of its divisors is an integer number (55346005).

Almost surely, 2^4251040200 is an apocalyptic number.

4251040200 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 4251040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969824720).

4251040200 is an abundant number, since it is smaller than the sum of its proper divisors (11688609240).

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

4251040200 is a wasteful number, since it uses less digits than its factorization.

4251040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4251040200 is about 65200.0015337423. The cubic root of 4251040200 is about 1619.9380406116.

Adding to 4251040200 its reverse (20401524), we get a palindrome (4271441724).

The spelling of 4251040200 in words is "four billion, two hundred fifty-one million, forty thousand, two hundred".