4255943126400 has 1536 divisors, whose sum is σ = 18230604595200. Its totient is φ = 949572771840.

The previous prime is 4255943126381. The next prime is 4255943126443. The reversal of 4255943126400 is 46213495524.

4255943126400 is a `hidden beast` number, since 4 + 2 + 5 + 594 + 3 + 12 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×4255943126400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5146242787 + ... + 5146243613.

It is an arithmetic number, because the mean of its divisors is an integer number (11868883200).

Almost surely, 2^{4255943126400} is an apocalyptic number.

4255943126400 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 4255943126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115302297600).

4255943126400 is an abundant number, since it is smaller than the sum of its proper divisors (13974661468800).

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

4255943126400 is a wasteful number, since it uses less digits than its factorization.

4255943126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4255943126400 in words is "four trillion, two hundred fifty-five billion, nine hundred forty-three million, one hundred twenty-six thousand, four hundred".