4255796991600 has 2400 divisors, whose sum is σ = 20053170086400. Its totient is φ = 838514073600.

The previous prime is 4255796991569. The next prime is 4255796991647. The reversal of 4255796991600 is 61996975524.

4255796991600 is a `hidden beast` number, since 4 + 2 + 557 + 9 + 69 + 9 + 16 + 0 + 0 = 666.

4255796991600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4255796991600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4268602302 + ... + 4268603298.

It is an arithmetic number, because the mean of its divisors is an integer number (8355487536).

Almost surely, 2^{4255796991600} is an apocalyptic number.

4255796991600 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 4255796991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026585043200).

4255796991600 is an abundant number, since it is smaller than the sum of its proper divisors (15797373094800).

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

4255796991600 is a wasteful number, since it uses less digits than its factorization.

4255796991600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 4255796991600 in words is "four trillion, two hundred fifty-five billion, seven hundred ninety-six million, nine hundred ninety-one thousand, six hundred".