41066052558400 has 63 divisors (see below), whose sum is σ = 101048786315409. Its totient is φ = 16426318490880.

The previous prime is 41066052558379. The next prime is 41066052558431. The reversal of 41066052558400 is 485525066014.

The square root of 41066052558400 is 6408280.

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., 14783778921024 + 26282273637376 = 3844968^2 + 5126624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 256251097 + ... + 256411303.

Almost surely, 2^{41066052558400} is an apocalyptic number.

41066052558400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41066052558400 is the 6408280-th square number.

It is an amenable number.

41066052558400 is an abundant number, since it is smaller than the sum of its proper divisors (59982733757009).

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

41066052558400 is an frugal number, since it uses more digits than its factorization.

41066052558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320436 (or 160214 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 41066052558400 in words is "forty-one trillion, sixty-six billion, fifty-two million, five hundred fifty-eight thousand, four hundred".