4267729950456 has 128 divisors (see below), whose sum is σ = 12363711782400. Its totient is φ = 1202437716480.

The previous prime is 4267729950427. The next prime is 4267729950457. The reversal of 4267729950456 is 6540599277624.

4267729950456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4267729950457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3311566 + ... + 4416098.

It is an arithmetic number, because the mean of its divisors is an integer number (96591498300).

Almost surely, 2^{4267729950456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4267729950456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181855891200).

4267729950456 is an abundant number, since it is smaller than the sum of its proper divisors (8095981831944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4267729950456 is a wasteful number, since it uses less digits than its factorization.

4267729950456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104869 (or 1104865 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 4267729950456 in words is "four trillion, two hundred sixty-seven billion, seven hundred twenty-nine million, nine hundred fifty thousand, four hundred fifty-six".