4005633014064 has 120 divisors (see below), whose sum is σ = 12355394902032. Its totient is φ = 1201314447360.

The previous prime is 4005633014051. The next prime is 4005633014069. The reversal of 4005633014064 is 4604103365004.

4005633014064 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 633 + 0 + 14 + 0 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4005633014069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12881449 + ... + 13188744.

Almost surely, 2^{4005633014064} is an apocalyptic number.

4005633014064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4005633014064 is an abundant number, since it is smaller than the sum of its proper divisors (8349761887968).

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

4005633014064 is a wasteful number, since it uses less digits than its factorization.

4005633014064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26070315 (or 26070306 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 4005633014064 its reverse (4604103365004), we get a palindrome (8609736379068).

The spelling of 4005633014064 in words is "four trillion, five billion, six hundred thirty-three million, fourteen thousand, sixty-four".