4286798208000 has 2816 divisors, whose sum is σ = 20085727334400. Its totient is φ = 875888640000.

The previous prime is 4286798207981. The next prime is 4286798208001. The reversal of 4286798208000 is 8028976824.

4286798208000 is a `hidden beast` number, since 428 + 6 + 7 + 9 + 8 + 208 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×4286798208000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286798208001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 23683967910 + ... + 23683968090.

Almost surely, 2^{4286798208000} is an apocalyptic number.

4286798208000 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 4286798208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042863667200).

4286798208000 is an abundant number, since it is smaller than the sum of its proper divisors (15798929126400).

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

4286798208000 is a wasteful number, since it uses less digits than its factorization.

4286798208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4286798208000 in words is "four trillion, two hundred eighty-six billion, seven hundred ninety-eight million, two hundred eight thousand".