4257855360000 has 2640 divisors, whose sum is σ = 18315810564480. Its totient is φ = 940769280000.

The previous prime is 4257855359917. The next prime is 4257855360007. The reversal of 4257855360000 is 635587524.

4257855360000 is a `hidden beast` number, since 4 + 25 + 78 + 553 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is not an unprimeable number, because it can be changed into a prime (4257855360007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63550079967 + ... + 63550080033.

It is an arithmetic number, because the mean of its divisors is an integer number (6937807032).

Almost surely, 2^{4257855360000} is an apocalyptic number.

4257855360000 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 4257855360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157905282240).

4257855360000 is an abundant number, since it is smaller than the sum of its proper divisors (14057955204480).

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

4257855360000 is a wasteful number, since it uses less digits than its factorization.

4257855360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4257855360000 in words is "four trillion, two hundred fifty-seven billion, eight hundred fifty-five million, three hundred sixty thousand".