4167857268432 has 1440 divisors, whose sum is σ = 15115290059520. Its totient is φ = 1095955660800.

The previous prime is 4167857268349. The next prime is 4167857268439. The reversal of 4167857268432 is 2348627587614.

4167857268432 is a `hidden beast` number, since 4 + 1 + 6 + 78 + 5 + 72 + 68 + 432 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4167857268432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167857268439) 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 287 ways as a sum of consecutive naturals, for example, 14832232132 + ... + 14832232412.

It is an arithmetic number, because the mean of its divisors is an integer number (10496729208).

Almost surely, 2^{4167857268432} 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 4167857268432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557645029760).

4167857268432 is an abundant number, since it is smaller than the sum of its proper divisors (10947432791088).

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

4167857268432 is a wasteful number, since it uses less digits than its factorization.

4167857268432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 406 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 4167857268432 in words is "four trillion, one hundred sixty-seven billion, eight hundred fifty-seven million, two hundred sixty-eight thousand, four hundred thirty-two".