4267729950401 has 4 divisors (see below), whose sum is σ = 4340064356400. Its totient is φ = 4195395544404.

The previous prime is 4267729950361. The next prime is 4267729950413. The reversal of 4267729950401 is 1040599277624.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4267729950401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4267729950101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36167202911 + ... + 36167203028.

It is an arithmetic number, because the mean of its divisors is an integer number (1085016089100).

Almost surely, 2^{4267729950401} is an apocalyptic number.

It is an amenable number.

4267729950401 is a deficient number, since it is larger than the sum of its proper divisors (72334405999).

4267729950401 is an equidigital number, since it uses as much as digits as its factorization.

4267729950401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72334405998.

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 4267729950401 in words is "four trillion, two hundred sixty-seven billion, seven hundred twenty-nine million, nine hundred fifty thousand, four hundred one".