4278264120 has 384 divisors, whose sum is σ = 15894627840. Its totient is φ = 990351360.

The previous prime is 4278264079. The next prime is 4278264131. The reversal of 4278264120 is 214628724.

4278264120 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 2 + 641 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5367562 + ... + 5368358.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 2^4278264120 is an apocalyptic number.

4278264120 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 4278264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947313920).

4278264120 is an abundant number, since it is smaller than the sum of its proper divisors (11616363720).

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

4278264120 is a wasteful number, since it uses less digits than its factorization.

4278264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4278264120 is about 65408.4407397088. The cubic root of 4278264120 is about 1623.3887454668.

The spelling of 4278264120 in words is "four billion, two hundred seventy-eight million, two hundred sixty-four thousand, one hundred twenty".