4267200000 has 480 divisors, whose sum is σ = 16366952448. Its totient is φ = 967680000.

The previous prime is 4267199977. The next prime is 4267200023. The reversal of 4267200000 is 27624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4267199977) and next prime (4267200023).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4267200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33599937 + ... + 33600063.

Almost surely, 2^4267200000 is an apocalyptic number.

4267200000 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 4267200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183476224).

4267200000 is an abundant number, since it is smaller than the sum of its proper divisors (12099752448).

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

4267200000 is an frugal number, since it uses more digits than its factorization.

4267200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4267200000 is about 65323.8088295531. The cubic root of 4267200000 is about 1621.9881093594.

Adding to 4267200000 its reverse (27624), we get a palindrome (4267227624).

The spelling of 4267200000 in words is "four billion, two hundred sixty-seven million, two hundred thousand".