4278829686480 has 240 divisors, whose sum is σ = 14903592537600. Its totient is φ = 1098979660800.

The previous prime is 4278829686463. The next prime is 4278829686503. The reversal of 4278829686480 is 846869288724.

4278829686480 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 82 + 9 + 68 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4278829686399 and 4278829686408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4255246 + ... + 5163794.

It is an arithmetic number, because the mean of its divisors is an integer number (62098302240).

Almost surely, 2^{4278829686480} is an apocalyptic number.

4278829686480 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 4278829686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451796268800).

4278829686480 is an abundant number, since it is smaller than the sum of its proper divisors (10624762851120).

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

4278829686480 is a wasteful number, since it uses less digits than its factorization.

4278829686480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908810 (or 908801 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 4278829686480 in words is "four trillion, two hundred seventy-eight billion, eight hundred twenty-nine million, six hundred eighty-six thousand, four hundred eighty".