4263475782400 has 216 divisors, whose sum is σ = 10843652149344. Its totient is φ = 1658430259200.

The previous prime is 4263475782359. The next prime is 4263475782403. The reversal of 4263475782400 is 42875743624.

It is a super-2 number, since 2×4263475782400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4263475782403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 630595020 + ... + 630601780.

It is an arithmetic number, because the mean of its divisors is an integer number (50202093284).

Almost surely, 2^{4263475782400} is an apocalyptic number.

4263475782400 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 4263475782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421826074672).

4263475782400 is an abundant number, since it is smaller than the sum of its proper divisors (6580176366944).

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

4263475782400 is a wasteful number, since it uses less digits than its factorization.

4263475782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 52.

The spelling of 4263475782400 in words is "four trillion, two hundred sixty-three billion, four hundred seventy-five million, seven hundred eighty-two thousand, four hundred".