4164400429641 has 24 divisors (see below), whose sum is σ = 6026671485120. Its totient is φ = 2770998231456.

The previous prime is 4164400429633. The next prime is 4164400429649. The reversal of 4164400429641 is 1469240044614.

It is a happy number.

4164400429641 is a `hidden beast` number, since 4 + 164 + 4 + 0 + 0 + 429 + 64 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4164400429633) and next prime (4164400429649).

It is not a de Polignac number, because 4164400429641 - 2³ = 4164400429633 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4164400429649) 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 23 ways as a sum of consecutive naturals, for example, 9816180 + ... + 10231626.

It is an arithmetic number, because the mean of its divisors is an integer number (251111311880).

Almost surely, 2^{4164400429641} is an apocalyptic number.

It is an amenable number.

4164400429641 is a deficient number, since it is larger than the sum of its proper divisors (1862271055479).

4164400429641 is a wasteful number, since it uses less digits than its factorization.

4164400429641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417565 (or 417562 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4164400429641 in words is "four trillion, one hundred sixty-four billion, four hundred million, four hundred twenty-nine thousand, six hundred forty-one".