4282088745600 has 864 divisors, whose sum is σ = 15823407354300. Its totient is φ = 1102504919040.

The previous prime is 4282088745593. The next prime is 4282088745611. The reversal of 4282088745600 is 65478802824.

4282088745600 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 0 + 8 + 8 + 74 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1592987282496 + 2689101463104 = 1262136^2 + 1639848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5165365986 + ... + 5165366814.

Almost surely, 2^{4282088745600} is an apocalyptic number.

4282088745600 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 4282088745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911703677150).

4282088745600 is an abundant number, since it is smaller than the sum of its proper divisors (11541318608700).

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

4282088745600 is a wasteful number, since it uses less digits than its factorization.

4282088745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4282088745600 in words is "four trillion, two hundred eighty-two billion, eighty-eight million, seven hundred forty-five thousand, six hundred".