4286983034880 has 2880 divisors, whose sum is σ = 20212676003520. Its totient is φ = 847987605504.

The previous prime is 4286983034869. The next prime is 4286983034881. The reversal of 4286983034880 is 884303896824.

4286983034880 is a `hidden beast` number, since 4 + 286 + 9 + 8 + 3 + 0 + 348 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×4286983034880³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (4286983034881) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16680867712 + ... + 16680867968.

It is an arithmetic number, because the mean of its divisors is an integer number (7018290279).

Almost surely, 2^{4286983034880} is an apocalyptic number.

4286983034880 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 4286983034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10106338001760).

4286983034880 is an abundant number, since it is smaller than the sum of its proper divisors (15925692968640).

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

4286983034880 is a wasteful number, since it uses less digits than its factorization.

4286983034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 4286983034880 in words is "four trillion, two hundred eighty-six billion, nine hundred eighty-three million, thirty-four thousand, eight hundred eighty".