4243517600400 has 1215 divisors, whose sum is σ = 16951493132379. Its totient is φ = 982462141440.

The previous prime is 4243517600383. The next prime is 4243517600411. The reversal of 4243517600400 is 40067153424.

The square root of 4243517600400 is 2059980.

It is a perfect power (a square), and thus also a powerful number.

4243517600400 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 5 + 1 + 7 + 600 + 40 + 0 = 666.

4243517600400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1093772938896 + 3149744661504 = 1045836^2 + 1774752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 30528903531 + ... + 30528903669.

Almost surely, 2^{4243517600400} is an apocalyptic number.

4243517600400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4243517600400 is the 2059980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243517600400

4243517600400 is an abundant number, since it is smaller than the sum of its proper divisors (12707975531979).

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

4243517600400 is a wasteful number, since it uses less digits than its factorization.

4243517600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 4243517600400 by its sum of digits (36), we get a square (152766633614400 = 12359880²).

4243517600400 divided by its sum of digits (36) gives a square (117875488900 = 343330²).

The spelling of 4243517600400 in words is "four trillion, two hundred forty-three billion, five hundred seventeen million, six hundred thousand, four hundred".