4292985680984 has 864 divisors, whose sum is σ = 11693748487680. Its totient is φ = 1444718246400.

The previous prime is 4292985680957. The next prime is 4292985680987. The reversal of 4292985680984 is 4890865892924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292985680987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51722719007 + ... + 51722719089.

It is an arithmetic number, because the mean of its divisors is an integer number (13534431120).

Almost surely, 2^{4292985680984} is an apocalyptic number.

4292985680984 is a gapful number since it is divisible by the number (44) 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 4292985680984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846874243840).

4292985680984 is an abundant number, since it is smaller than the sum of its proper divisors (7400762806696).

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

4292985680984 is a wasteful number, since it uses less digits than its factorization.

4292985680984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 74.

The spelling of 4292985680984 in words is "four trillion, two hundred ninety-two billion, nine hundred eighty-five million, six hundred eighty thousand, nine hundred eighty-four".