4114965904 has 135 divisors (see below), whose sum is σ = 9728379297. Its totient is φ = 1681190784.

The previous prime is 4114965901. The next prime is 4114965917. The reversal of 4114965904 is 4095694114.

The square root of 4114965904 is 64148.

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

It can be written as a sum of positive squares in only one way, i.e., 2157788304 + 1957177600 = 46452^2 + 44240^2 .

It is not an unprimeable number, because it can be changed into a prime (4114965901) 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, 52088137 + ... + 52088215.

Almost surely, 2^4114965904 is an apocalyptic number.

4114965904 is the 64148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114965904

4114965904 is an abundant number, since it is smaller than the sum of its proper divisors (5613413393).

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

4114965904 is an equidigital number, since it uses as much as digits as its factorization.

4114965904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The cubic root of 4114965904 is about 1602.4657169480.

The spelling of 4114965904 in words is "four billion, one hundred fourteen million, nine hundred sixty-five thousand, nine hundred four".