4280306986368 has 1280 divisors, whose sum is σ = 16342861708800. Its totient is φ = 1082550583296.

The previous prime is 4280306986363. The next prime is 4280306986421. The reversal of 4280306986368 is 8636896030824.

4280306986368 is a `hidden beast` number, since 428 + 0 + 3 + 0 + 6 + 98 + 63 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280306986363) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3680400955 + ... + 3680402117.

It is an arithmetic number, because the mean of its divisors is an integer number (12767860710).

Almost surely, 2^{4280306986368} is an apocalyptic number.

4280306986368 is a gapful number since it is divisible by the number (48) 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 4280306986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171430854400).

4280306986368 is an abundant number, since it is smaller than the sum of its proper divisors (12062554722432).

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

4280306986368 is a wasteful number, since it uses less digits than its factorization.

4280306986368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 4280306986368 in words is "four trillion, two hundred eighty billion, three hundred six million, nine hundred eighty-six thousand, three hundred sixty-eight".