4226640163200 has 1152 divisors, whose sum is σ = 18619209336000. Its totient is φ = 889026969600.

The previous prime is 4226640163177. The next prime is 4226640163219. The reversal of 4226640163200 is 23610466224.

4226640163200 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 640 + 1 + 6 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 914656890 + ... + 914661510.

Almost surely, 2^{4226640163200} is an apocalyptic number.

4226640163200 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 4226640163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309604668000).

4226640163200 is an abundant number, since it is smaller than the sum of its proper divisors (14392569172800).

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

4226640163200 is a wasteful number, since it uses less digits than its factorization.

4226640163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4226640163200 in words is "four trillion, two hundred twenty-six billion, six hundred forty million, one hundred sixty-three thousand, two hundred".