4278340684800 has 3960 divisors, whose sum is σ = 20587664180160. Its totient is φ = 869518540800.

The previous prime is 4278340684733. The next prime is 4278340684817. The reversal of 4278340684800 is 84860438724.

It is a happy number.

4278340684800 is a `hidden beast` number, since 4 + 2 + 7 + 83 + 406 + 84 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 54156211161 + ... + 54156211239.

It is an arithmetic number, because the mean of its divisors is an integer number (5198905096).

Almost surely, 2^{4278340684800} is an apocalyptic number.

4278340684800 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 4278340684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10293832090080).

4278340684800 is an abundant number, since it is smaller than the sum of its proper divisors (16309323495360).

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

4278340684800 is a wasteful number, since it uses less digits than its factorization.

4278340684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4278340684800 in words is "four trillion, two hundred seventy-eight billion, three hundred forty million, six hundred eighty-four thousand, eight hundred".