4266414180900 has 243 divisors, whose sum is σ = 13824360033939. Its totient is φ = 1100514384000.

The previous prime is 4266414180893. The next prime is 4266414180937. The reversal of 4266414180900 is 90814146624.

The square root of 4266414180900 is 2065530.

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

4266414180900 is a `hidden beast` number, since 426 + 6 + 4 + 141 + 80 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6912592164 + 4259501588736 = 83142^2 + 2063856^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1920941790 + ... + 1920944010.

Almost surely, 2^{4266414180900} is an apocalyptic number.

4266414180900 is the 2065530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4266414180900

4266414180900 is an abundant number, since it is smaller than the sum of its proper divisors (9557945853039).

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

4266414180900 is a wasteful number, since it uses less digits than its factorization.

4266414180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4266414180900 in words is "four trillion, two hundred sixty-six billion, four hundred fourteen million, one hundred eighty thousand, nine hundred".