4035221568 has 336 divisors, whose sum is σ = 14070640896. Its totient is φ = 1080668160.

The previous prime is 4035221551. The next prime is 4035221581. The reversal of 4035221568 is 8651225304.

4035221568 is a `hidden beast` number, since 40 + 3 + 52 + 2 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4914598 + ... + 4915418.

Almost surely, 2^4035221568 is an apocalyptic number.

4035221568 is a gapful number since it is divisible by the number (48) 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 4035221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035320448).

4035221568 is an abundant number, since it is smaller than the sum of its proper divisors (10035419328).

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

4035221568 is a wasteful number, since it uses less digits than its factorization.

4035221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4035221568 is about 63523.3938639931. The cubic root of 4035221568 is about 1592.0466725372.

The spelling of 4035221568 in words is "four billion, thirty-five million, two hundred twenty-one thousand, five hundred sixty-eight".