4260146068224 has 360 divisors, whose sum is σ = 13034723697072. Its totient is φ = 1383081246720.

The previous prime is 4260146068159. The next prime is 4260146068273. The reversal of 4260146068224 is 4228606410624.

4260146068224 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 14 + 606 + 8 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4260146068224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 546659272 + ... + 546667064.

Almost surely, 2^{4260146068224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4260146068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517361848536).

4260146068224 is an abundant number, since it is smaller than the sum of its proper divisors (8774577628848).

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

4260146068224 is an equidigital number, since it uses as much as digits as its factorization.

4260146068224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4260146068224 in words is "four trillion, two hundred sixty billion, one hundred forty-six million, sixty-eight thousand, two hundred twenty-four".