4226360924160 has 1920 divisors, whose sum is σ = 16941647923200. Its totient is φ = 1003290624000.

The previous prime is 4226360924153. The next prime is 4226360924167. The reversal of 4226360924160 is 614290636224.

4226360924160 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 3 + 609 + 24 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4226360924153) and next prime (4226360924167).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4226360924160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226360924167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20030146455 + ... + 20030146665.

It is an arithmetic number, because the mean of its divisors is an integer number (8823774960).

Almost surely, 2^{4226360924160} is an apocalyptic number.

4226360924160 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 4226360924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470823961600).

4226360924160 is an abundant number, since it is smaller than the sum of its proper divisors (12715286999040).

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

4226360924160 is a wasteful number, since it uses less digits than its factorization.

4226360924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4226360924160 in words is "four trillion, two hundred twenty-six billion, three hundred sixty million, nine hundred twenty-four thousand, one hundred sixty".