4198207829761 has 64 divisors (see below), whose sum is σ = 5013371252736. Its totient is φ = 3475990425600.

The previous prime is 4198207829759. The next prime is 4198207829791. The reversal of 4198207829761 is 1679287028914.

It is not a de Polignac number, because 4198207829761 - 2¹ = 4198207829759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4198207829693 and 4198207829702.

It is not an unprimeable number, because it can be changed into a prime (4198207829731) 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 63 ways as a sum of consecutive naturals, for example, 716781745 + ... + 716787601.

It is an arithmetic number, because the mean of its divisors is an integer number (78333925824).

Almost surely, 2^{4198207829761} is an apocalyptic number.

4198207829761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4198207829761 is a deficient number, since it is larger than the sum of its proper divisors (815163422975).

4198207829761 is a wasteful number, since it uses less digits than its factorization.

4198207829761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582.

The product of its (nonzero) digits is 24385536, while the sum is 64.

The spelling of 4198207829761 in words is "four trillion, one hundred ninety-eight billion, two hundred seven million, eight hundred twenty-nine thousand, seven hundred sixty-one".