4276800000000 has 1404 divisors, whose sum is σ = 17469858242928. Its totient is φ = 1036800000000.

The previous prime is 4276799999981. The next prime is 4276800000023. The reversal of 4276800000000 is 86724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4276800000000.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 388799999995 + ... + 388800000005.

Almost surely, 2^{4276800000000} is an apocalyptic number.

4276800000000 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 4276800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734929121464).

4276800000000 is an abundant number, since it is smaller than the sum of its proper divisors (13193058242928).

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

4276800000000 is an frugal number, since it uses more digits than its factorization.

4276800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 4276800000000 its reverse (86724), we get a palindrome (4276800086724).

The spelling of 4276800000000 in words is "four trillion, two hundred seventy-six billion, eight hundred million", and thus it is an aban number.