4256653230720 has 768 divisors, whose sum is σ = 16677584582400. Its totient is φ = 1025264148480.

The previous prime is 4256653230703. The next prime is 4256653230749. The reversal of 4256653230720 is 270323566524.

4256653230720 is a `hidden beast` number, since 4 + 2 + 5 + 66 + 532 + 30 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328261677 + ... + 328274643.

It is an arithmetic number, because the mean of its divisors is an integer number (21715604925).

Almost surely, 2^{4256653230720} is an apocalyptic number.

4256653230720 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 4256653230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8338792291200).

4256653230720 is an abundant number, since it is smaller than the sum of its proper divisors (12420931351680).

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

4256653230720 is a wasteful number, since it uses less digits than its factorization.

4256653230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 4256653230720 in words is "four trillion, two hundred fifty-six billion, six hundred fifty-three million, two hundred thirty thousand, seven hundred twenty".