4385566456320 has 640 divisors, whose sum is σ = 16481257132032. Its totient is φ = 973946880000.

The previous prime is 4385566456303. The next prime is 4385566456357. The reversal of 4385566456320 is 236546655834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553240197 + ... + 553248123.

Almost surely, 2^{4385566456320} is an apocalyptic number.

4385566456320 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 4385566456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240628566016).

4385566456320 is an abundant number, since it is smaller than the sum of its proper divisors (12095690675712).

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

4385566456320 is a wasteful number, since it uses less digits than its factorization.

4385566456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 57.

The spelling of 4385566456320 in words is "four trillion, three hundred eighty-five billion, five hundred sixty-six million, four hundred fifty-six thousand, three hundred twenty".