4278265620720 has 960 divisors, whose sum is σ = 17103085332480. Its totient is φ = 876248948736.

The previous prime is 4278265620689. The next prime is 4278265620731. The reversal of 4278265620720 is 270265628724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4655348421 + ... + 4655349339.

It is an arithmetic number, because the mean of its divisors is an integer number (17815713888).

Almost surely, 2^{4278265620720} is an apocalyptic number.

4278265620720 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 4278265620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551542666240).

4278265620720 is an abundant number, since it is smaller than the sum of its proper divisors (12824819711760).

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

4278265620720 is a wasteful number, since it uses less digits than its factorization.

4278265620720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 4278265620720 in words is "four trillion, two hundred seventy-eight billion, two hundred sixty-five million, six hundred twenty thousand, seven hundred twenty".