4000512016384 has 153 divisors (see below), whose sum is σ = 8678204225379. Its totient is φ = 1843317964800.

The previous prime is 4000512016379. The next prime is 4000512016387. The reversal of 4000512016384 is 4836102150004.

The square root of 4000512016384 is 2000128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1024000000 + 3999488016384 = 32000^2 + 1999872^2 .

It is a super-3 number, since 3×4000512016384³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000512016387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6656425684 + ... + 6656426284.

Almost surely, 2^{4000512016384} is an apocalyptic number.

4000512016384 is the 2000128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000512016384

4000512016384 is an abundant number, since it is smaller than the sum of its proper divisors (4677692208995).

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

4000512016384 is an frugal number, since it uses more digits than its factorization.

4000512016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 4000512016384 its reverse (4836102150004), we get a palindrome (8836614166388).

The spelling of 4000512016384 in words is "four trillion, five hundred twelve million, sixteen thousand, three hundred eighty-four".