4067863438800 has 360 divisors, whose sum is σ = 15169528704096. Its totient is φ = 929101716480.

The previous prime is 4067863438799. The next prime is 4067863438801. The reversal of 4067863438800 is 88343687604.

It is an interprime number because it is at equal distance from previous prime (4067863438799) and next prime (4067863438801).

It is a super-2 number, since 2×4067863438800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067863438801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80707207 + ... + 80757593.

Almost surely, 2^{4067863438800} is an apocalyptic number.

4067863438800 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 4067863438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584764352048).

4067863438800 is an abundant number, since it is smaller than the sum of its proper divisors (11101665265296).

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

4067863438800 is a wasteful number, since it uses less digits than its factorization.

4067863438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51795 (or 51777 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 4067863438800 in words is "four trillion, sixty-seven billion, eight hundred sixty-three million, four hundred thirty-eight thousand, eight hundred".