4021585553664 has 216 divisors, whose sum is σ = 13320354832512. Its totient is φ = 1143070064640.

The previous prime is 4021585553663. The next prime is 4021585553693. The reversal of 4021585553664 is 4663555851204.

4021585553664 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 5 + 85 + 553 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4021585553664.

It is not an unprimeable number, because it can be changed into a prime (4021585553663) 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 23 ways as a sum of consecutive naturals, for example, 2466709 + ... + 3758699.

Almost surely, 2^{4021585553664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021585553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660177416256).

4021585553664 is an abundant number, since it is smaller than the sum of its proper divisors (9298769278848).

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

4021585553664 is a wasteful number, since it uses less digits than its factorization.

4021585553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292213 (or 1292196 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 4021585553664 in words is "four trillion, twenty-one billion, five hundred eighty-five million, five hundred fifty-three thousand, six hundred sixty-four".