4167045200256 has 128 divisors (see below), whose sum is σ = 11551738924800. Its totient is φ = 1328418736128.

The previous prime is 4167045200239. The next prime is 4167045200257. The reversal of 4167045200256 is 6520025407614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167045200257) 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 15 ways as a sum of consecutive naturals, for example, 63725530 + ... + 63790886.

It is an arithmetic number, because the mean of its divisors is an integer number (90247960350).

Almost surely, 2^{4167045200256} is an apocalyptic number.

4167045200256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4167045200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775869462400).

4167045200256 is an abundant number, since it is smaller than the sum of its proper divisors (7384693724544).

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

4167045200256 is a wasteful number, since it uses less digits than its factorization.

4167045200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72616 (or 72604 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 4167045200256 in words is "four trillion, one hundred sixty-seven billion, forty-five million, two hundred thousand, two hundred fifty-six".