4278105600 has 120 divisors (see below), whose sum is σ = 14132581320. Its totient is φ = 1140817920.

The previous prime is 4278105589. The next prime is 4278105631. The reversal of 4278105600 is 65018724.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 17305 + ... + 94104.

It is an arithmetic number, because the mean of its divisors is an integer number (117771511).

Almost surely, 2^4278105600 is an apocalyptic number.

4278105600 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 4278105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066290660).

4278105600 is an abundant number, since it is smaller than the sum of its proper divisors (9854475720).

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

4278105600 is a wasteful number, since it uses less digits than its factorization.

4278105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111440 (or 111419 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 4278105600 is about 65407.2289582734. The cubic root of 4278105600 is about 1623.3686950636.

The spelling of 4278105600 in words is "four billion, two hundred seventy-eight million, one hundred five thousand, six hundred".