4010835327849 has 135 divisors (see below), whose sum is σ = 7073149580013. Its totient is φ = 2258380586448.

The previous prime is 4010835327823. The next prime is 4010835327871. The reversal of 4010835327849 is 9487235380104.

It is a happy number.

The square root of 4010835327849 is 2002707.

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

4010835327849 is a `hidden beast` number, since 4 + 0 + 10 + 8 + 353 + 278 + 4 + 9 = 666.

It is not a de Polignac number, because 4010835327849 - 2⁹ = 4010835327337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4010835327795 and 4010835327804.

It is not an unprimeable number, because it can be changed into a prime (4010835327899) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 10472154712 + ... + 10472155094.

Almost surely, 2^{4010835327849} is an apocalyptic number.

4010835327849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4010835327849 is the 2002707-th square number.

4010835327849 is the 1001354-th centered octagonal number.

It is an amenable number.

4010835327849 is a deficient number, since it is larger than the sum of its proper divisors (3062314252164).

4010835327849 is an frugal number, since it uses more digits than its factorization.

4010835327849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 476 counting only the distinct ones).

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

The spelling of 4010835327849 in words is "four trillion, ten billion, eight hundred thirty-five million, three hundred twenty-seven thousand, eight hundred forty-nine".