4278687840 has 1152 divisors, whose sum is σ = 19546531200. Its totient is φ = 867041280.

The previous prime is 4278687821. The next prime is 4278687841. The reversal of 4278687840 is 487868724.

It is a happy number.

4278687840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278687841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104358220 + ... + 104358260.

It is an arithmetic number, because the mean of its divisors is an integer number (16967475).

Almost surely, 2^4278687840 is an apocalyptic number.

4278687840 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 4278687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773265600).

4278687840 is an abundant number, since it is smaller than the sum of its proper divisors (15267843360).

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

4278687840 is a wasteful number, since it uses less digits than its factorization.

4278687840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 4278687840 is about 65411.6796910154. The cubic root of 4278687840 is about 1623.4423372626.

The spelling of 4278687840 in words is "four billion, two hundred seventy-eight million, six hundred eighty-seven thousand, eight hundred forty".