4283632496640 has 1664 divisors, whose sum is σ = 16909369344000. Its totient is φ = 924266004480.

The previous prime is 4283632496593. The next prime is 4283632496683. The reversal of 4283632496640 is 466942363824.

It is a super-2 number, since 2×4283632496640² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 51610030039 + ... + 51610030121.

Almost surely, 2^{4283632496640} is an apocalyptic number.

4283632496640 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 4283632496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454684672000).

4283632496640 is an abundant number, since it is smaller than the sum of its proper divisors (12625736847360).

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

4283632496640 is an equidigital number, since it uses as much as digits as its factorization.

4283632496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 57.

The spelling of 4283632496640 in words is "four trillion, two hundred eighty-three billion, six hundred thirty-two million, four hundred ninety-six thousand, six hundred forty".