4033891487025 has 81 divisors (see below), whose sum is σ = 7267319408323. Its totient is φ = 2138924236800.

The previous prime is 4033891486987. The next prime is 4033891487077. The reversal of 4033891487025 is 5207841983304.

It is a happy number.

The square root of 4033891487025 is 2008455.

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

4033891487025 is a `hidden beast` number, since 40 + 3 + 38 + 91 + 487 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 883507882401 + 3150383604624 = 939951^2 + 1774932^2 .

It is not a de Polignac number, because 4033891487025 - 2⁷ = 4033891486897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7742593765 + ... + 7742594285.

Almost surely, 2^{4033891487025} is an apocalyptic number.

4033891487025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4033891487025 is the 2008455-th square number.

4033891487025 is the 1004228-th centered octagonal number.

It is an amenable number.

4033891487025 is a deficient number, since it is larger than the sum of its proper divisors (3233427921298).

4033891487025 is an frugal number, since it uses more digits than its factorization.

4033891487025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4033891487025 in words is "four trillion, thirty-three billion, eight hundred ninety-one million, four hundred eighty-seven thousand, twenty-five".