4288270683680 has 48 divisors (see below), whose sum is σ = 10137580450200. Its totient is φ = 1714200809472.

The previous prime is 4288270683673. The next prime is 4288270683709. The reversal of 4288270683680 is 863860728824.

4288270683680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3231955399696 + 1056315283984 = 1797764^2 + 1027772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8403449 + ... + 8899128.

Almost surely, 2^{4288270683680} is an apocalyptic number.

4288270683680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4288270683680 is an abundant number, since it is smaller than the sum of its proper divisors (5849309766520).

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

4288270683680 is a wasteful number, since it uses less digits than its factorization.

4288270683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17304141 (or 17304133 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 62.

The spelling of 4288270683680 in words is "four trillion, two hundred eighty-eight billion, two hundred seventy million, six hundred eighty-three thousand, six hundred eighty".