4283485676640 has 576 divisors, whose sum is σ = 16397444044800. Its totient is φ = 1013063749632.

The previous prime is 4283485676623. The next prime is 4283485676651. The reversal of 4283485676640 is 466765843824.

4283485676640 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 4 + 8 + 567 + 6 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29503746 + ... + 29648574.

It is an arithmetic number, because the mean of its divisors is an integer number (28467784800).

Almost surely, 2^{4283485676640} is an apocalyptic number.

4283485676640 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 4283485676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198722022400).

4283485676640 is an abundant number, since it is smaller than the sum of its proper divisors (12113958368160).

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

4283485676640 is a wasteful number, since it uses less digits than its factorization.

4283485676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144939 (or 144928 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 4283485676640 in words is "four trillion, two hundred eighty-three billion, four hundred eighty-five million, six hundred seventy-six thousand, six hundred forty".