4211037966249 has 48 divisors (see below), whose sum is σ = 6524416641600. Its totient is φ = 2609076832128.

The previous prime is 4211037966227. The next prime is 4211037966253. The reversal of 4211037966249 is 9426697301124.

4211037966249 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 0 + 3 + 7 + 9 + 6 + 624 + 9 = 666.

It is not a de Polignac number, because 4211037966249 - 2²¹ = 4211035869097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4211037966195 and 4211037966204.

It is not an unprimeable number, because it can be changed into a prime (4211037966259) 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 47 ways as a sum of consecutive naturals, for example, 80063442 + ... + 80116020.

It is an arithmetic number, because the mean of its divisors is an integer number (135925346700).

Almost surely, 2^{4211037966249} is an apocalyptic number.

It is an amenable number.

4211037966249 is a deficient number, since it is larger than the sum of its proper divisors (2313378675351).

4211037966249 is a wasteful number, since it uses less digits than its factorization.

4211037966249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61494 (or 61491 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4211037966249 in words is "four trillion, two hundred eleven billion, thirty-seven million, nine hundred sixty-six thousand, two hundred forty-nine".