4260180787200 has 1008 divisors, whose sum is σ = 16892635191040. Its totient is φ = 1046394961920.

The previous prime is 4260180787193. The next prime is 4260180787207. The reversal of 4260180787200 is 27870810624.

4260180787200 is a `hidden beast` number, since 4 + 260 + 180 + 7 + 8 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (4260180787193) and next prime (4260180787207).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4260180787207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9201254169 + ... + 9201254631.

Almost surely, 2^{4260180787200} is an apocalyptic number.

4260180787200 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 4260180787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446317595520).

4260180787200 is an abundant number, since it is smaller than the sum of its proper divisors (12632454403840).

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

4260180787200 is an frugal number, since it uses more digits than its factorization.

4260180787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 4260180787200 in words is "four trillion, two hundred sixty billion, one hundred eighty million, seven hundred eighty-seven thousand, two hundred".