4202107449967 has 8 divisors (see below), whose sum is σ = 4914092433536. Its totient is φ = 3518043446232.

The previous prime is 4202107449923. The next prime is 4202107449989. The reversal of 4202107449967 is 7699447012024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4202107449967 - 2²⁷ = 4201973232239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202107449167) 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 7 ways as a sum of consecutive naturals, for example, 6980244633 + ... + 6980245234.

It is an arithmetic number, because the mean of its divisors is an integer number (614261554192).

Almost surely, 2^{4202107449967} is an apocalyptic number.

4202107449967 is a deficient number, since it is larger than the sum of its proper divisors (711984983569).

4202107449967 is a wasteful number, since it uses less digits than its factorization.

4202107449967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960489917.

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 4202107449967 in words is "four trillion, two hundred two billion, one hundred seven million, four hundred forty-nine thousand, nine hundred sixty-seven".