4152302009856 has 2160 divisors, whose sum is σ = 17152257154032. Its totient is φ = 993257717760.

The previous prime is 4152302009753. The next prime is 4152302009927. The reversal of 4152302009856 is 6589002032514.

4152302009856 is a `hidden beast` number, since 41 + 523 + 0 + 2 + 0 + 0 + 9 + 85 + 6 = 666.

It is a super-2 number, since 2×4152302009856² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9589611816 + ... + 9589612248.

Almost surely, 2^{4152302009856} 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 4152302009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576128577016).

4152302009856 is an abundant number, since it is smaller than the sum of its proper divisors (12999955144176).

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

4152302009856 is a wasteful number, since it uses less digits than its factorization.

4152302009856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4152302009856 in words is "four trillion, one hundred fifty-two billion, three hundred two million, nine thousand, eight hundred fifty-six".