4026567871200 has 864 divisors, whose sum is σ = 16749615456000. Its totient is φ = 820610334720.

The previous prime is 4026567871103. The next prime is 4026567871201. The reversal of 4026567871200 is 21787656204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4026567871200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026567871201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92226976 + ... + 92270624.

It is an arithmetic number, because the mean of its divisors is an integer number (19386129000).

Almost surely, 2^{4026567871200} is an apocalyptic number.

4026567871200 is a gapful number since it is divisible by the number (40) 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 4026567871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374807728000).

4026567871200 is an abundant number, since it is smaller than the sum of its proper divisors (12723047584800).

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

4026567871200 is a wasteful number, since it uses less digits than its factorization.

4026567871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43732 (or 43702 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 4026567871200 in words is "four trillion, twenty-six billion, five hundred sixty-seven million, eight hundred seventy-one thousand, two hundred".