4226167000 has 192 divisors, whose sum is σ = 11091880800. Its totient is φ = 1505504000.

The previous prime is 4226166949. The next prime is 4226167019. The reversal of 4226167000 is 7616224.

It is a self number, because there is not a number n which added to its sum of digits gives 4226167000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6412671 + ... + 6413329.

Almost surely, 2^4226167000 is an apocalyptic number.

4226167000 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 4226167000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545940400).

4226167000 is an abundant number, since it is smaller than the sum of its proper divisors (6865713800).

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

4226167000 is a wasteful number, since it uses less digits than its factorization.

4226167000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4226167000 is about 65008.9763032768. The cubic root of 4226167000 is about 1616.7723930336.

The spelling of 4226167000 in words is "four billion, two hundred twenty-six million, one hundred sixty-seven thousand".