4261867200 has 504 divisors, whose sum is σ = 16414770320. Its totient is φ = 1045094400.

The previous prime is 4261867199. The next prime is 4261867201. The reversal of 4261867200 is 27681624.

It is an interprime number because it is at equal distance from previous prime (4261867199) and next prime (4261867201).

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 (4261867201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10122990 + ... + 10123410.

Almost surely, 2^4261867200 is an apocalyptic number.

4261867200 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 4261867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207385160).

4261867200 is an abundant number, since it is smaller than the sum of its proper divisors (12152903120).

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

4261867200 is a wasteful number, since it uses less digits than its factorization.

4261867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4261867200 is about 65282.9778732558. The cubic root of 4261867200 is about 1621.3121513589.

The spelling of 4261867200 in words is "four billion, two hundred sixty-one million, eight hundred sixty-seven thousand, two hundred".