4282167879000 has 768 divisors, whose sum is σ = 16612365893760. Its totient is φ = 985374720000.

The previous prime is 4282167878971. The next prime is 4282167879061. The reversal of 4282167879000 is 9787612824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150168744 + ... + 150197256.

Almost surely, 2^{4282167879000} is an apocalyptic number.

4282167879000 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 4282167879000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306182946880).

4282167879000 is an abundant number, since it is smaller than the sum of its proper divisors (12330198014760).

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

4282167879000 is a wasteful number, since it uses less digits than its factorization.

4282167879000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28629 (or 28612 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4282167879000 in words is "four trillion, two hundred eighty-two billion, one hundred sixty-seven million, eight hundred seventy-nine thousand".