42266771664100 has 81 divisors (see below), whose sum is σ = 92096979225321. Its totient is φ = 16837300893600.

The previous prime is 42266771664097. The next prime is 42266771664239. The reversal of 42266771664100 is 146617766224.

The square root of 42266771664100 is 6501290.

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

It can be written as a sum of positive squares in only one way, i.e., 15216037799076 + 27050733865024 = 3900774^2 + 5201032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17618494701 + ... + 17618497099.

Almost surely, 2^{42266771664100} is an apocalyptic number.

42266771664100 is the 6501290-th square number.

It is an amenable number.

42266771664100 is an abundant number, since it is smaller than the sum of its proper divisors (49830207561221).

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

42266771664100 is an frugal number, since it uses more digits than its factorization.

42266771664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 42266771664100 in words is "forty-two trillion, two hundred sixty-six billion, seven hundred seventy-one million, six hundred sixty-four thousand, one hundred".