4278117120 has 288 divisors, whose sum is σ = 14494576320. Its totient is φ = 1073479680.

The previous prime is 4278117101. The next prime is 4278117131. The reversal of 4278117120 is 217118724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4565292 + ... + 4566228.

It is an arithmetic number, because the mean of its divisors is an integer number (50328390).

Almost surely, 2^4278117120 is an apocalyptic number.

4278117120 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 4278117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247288160).

4278117120 is an abundant number, since it is smaller than the sum of its proper divisors (10216459200).

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

4278117120 is a wasteful number, since it uses less digits than its factorization.

4278117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 4278117120 is about 65407.3170218745. The cubic root of 4278117120 is about 1623.3701521875.

The spelling of 4278117120 in words is "four billion, two hundred seventy-eight million, one hundred seventeen thousand, one hundred twenty".