4226459074560 has 1024 divisors, whose sum is σ = 16293615782400. Its totient is φ = 1035296833536.

The previous prime is 4226459074499. The next prime is 4226459074657. The reversal of 4226459074560 is 654709546224.

4226459074560 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 4 + 5 + 9 + 0 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4226459074497 and 4226459074506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3233709427 + ... + 3233710733.

Almost surely, 2^{4226459074560} is an apocalyptic number.

4226459074560 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 4226459074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146807891200).

4226459074560 is an abundant number, since it is smaller than the sum of its proper divisors (12067156707840).

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

4226459074560 is a wasteful number, since it uses less digits than its factorization.

4226459074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4226459074560 in words is "four trillion, two hundred twenty-six billion, four hundred fifty-nine million, seventy-four thousand, five hundred sixty".