4252173926400 has 765 divisors, whose sum is σ = 15841368329941. Its totient is φ = 1127578337280.

The previous prime is 4252173926383. The next prime is 4252173926423. The reversal of 4252173926400 is 46293712524.

The square root of 4252173926400 is 2062080.

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

4252173926400 is a `hidden beast` number, since 4 + 2 + 5 + 217 + 3 + 9 + 26 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1530782613504 + 2721391312896 = 1237248^2 + 1649664^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23755161511 + ... + 23755161689.

Almost surely, 2^{4252173926400} is an apocalyptic number.

4252173926400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4252173926400 is the 2062080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252173926400

4252173926400 is an abundant number, since it is smaller than the sum of its proper divisors (11589194403541).

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

4252173926400 is an frugal number, since it uses more digits than its factorization.

4252173926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4252173926400 in words is "four trillion, two hundred fifty-two billion, one hundred seventy-three million, nine hundred twenty-six thousand, four hundred".