4266951235600 has 135 divisors (see below), whose sum is σ = 10326837814167. Its totient is φ = 1694303907840.

The previous prime is 4266951235577. The next prime is 4266951235621. The reversal of 4266951235600 is 65321596624.

The square root of 4266951235600 is 2065660.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1204787226384 + 3062164009216 = 1097628^2 + 1749904^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7395062512 + ... + 7395063088.

Almost surely, 2^{4266951235600} is an apocalyptic number.

4266951235600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4266951235600 is the 2065660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4266951235600

4266951235600 is an abundant number, since it is smaller than the sum of its proper divisors (6059886578567).

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

4266951235600 is an frugal number, since it uses more digits than its factorization.

4266951235600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 4266951235600 by its sum of digits (49), we get a square (209080610544400 = 14459620²).

The spelling of 4266951235600 in words is "four trillion, two hundred sixty-six billion, nine hundred fifty-one million, two hundred thirty-five thousand, six hundred".