4020995478564 has 81 divisors (see below), whose sum is σ = 10237420997713. Its totient is φ = 1330742758944.

The previous prime is 4020995478547. The next prime is 4020995478569. The reversal of 4020995478564 is 4658745990204.

The square root of 4020995478564 is 2005242.

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

4020995478564 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 9 + 9 + 547 + 85 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 471087304164 + 3549908174400 = 686358^2 + 1884120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4020995478569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1792685227 + ... + 1792687469.

Almost surely, 2^{4020995478564} is an apocalyptic number.

4020995478564 is the 2005242-nd square number.

It is an amenable number.

4020995478564 is an abundant number, since it is smaller than the sum of its proper divisors (6216425519149).

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

4020995478564 is an equidigital number, since it uses as much as digits as its factorization.

4020995478564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 4020995478564 in words is "four trillion, twenty billion, nine hundred ninety-five million, four hundred seventy-eight thousand, five hundred sixty-four".