4287083734080 has 1680 divisors, whose sum is σ = 18809385027840. Its totient is φ = 906216284160.

The previous prime is 4287083734033. The next prime is 4287083734093. The reversal of 4287083734080 is 804373807824.

4287083734080 is a `hidden beast` number, since 4 + 28 + 70 + 83 + 73 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4010367786 + ... + 4010368854.

Almost surely, 2^{4287083734080} is an apocalyptic number.

4287083734080 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 4287083734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404692513920).

4287083734080 is an abundant number, since it is smaller than the sum of its proper divisors (14522301293760).

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

4287083734080 is a wasteful number, since it uses less digits than its factorization.

4287083734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4287083734080 in words is "four trillion, two hundred eighty-seven billion, eighty-three million, seven hundred thirty-four thousand, eighty".