4061405875849 has 27 divisors (see below), whose sum is σ = 4797176224743. Its totient is φ = 3428448696288.

The previous prime is 4061405875763. The next prime is 4061405875883. The reversal of 4061405875849 is 9485785041604.

The square root of 4061405875849 is 2015293.

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., 2175639750025 + 1885766125824 = 1475005^2 + 1373232^2 .

It is not a de Polignac number, because 4061405875849 - 2¹⁹ = 4061405351561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4061405876849) 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 26 ways as a sum of consecutive naturals, for example, 945170269 + ... + 945174565.

It is an arithmetic number, because the mean of its divisors is an integer number (177673193509).

Almost surely, 2^{4061405875849} is an apocalyptic number.

4061405875849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4061405875849 is the 2015293-rd square number.

4061405875849 is the 1007647-th centered octagonal number.

It is an amenable number.

4061405875849 is a deficient number, since it is larger than the sum of its proper divisors (735770348894).

4061405875849 is an frugal number, since it uses more digits than its factorization.

4061405875849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

The spelling of 4061405875849 in words is "four trillion, sixty-one billion, four hundred five million, eight hundred seventy-five thousand, eight hundred forty-nine".