66262246400400 has 120 divisors (see below), whose sum is σ = 221488761103680. Its totient is φ = 16901674437120.

The previous prime is 66262246400333. The next prime is 66262246400477. The reversal of 66262246400400 is 400464226266.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1200375415 + ... + 1200430614.

It is an arithmetic number, because the mean of its divisors is an integer number (1845739675864).

Almost surely, 2^{66262246400400} is an apocalyptic number.

66262246400400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66262246400400 is an abundant number, since it is smaller than the sum of its proper divisors (155226514703280).

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

66262246400400 is a wasteful number, since it uses less digits than its factorization.

66262246400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400806073 (or 2400806062 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 66262246400400 in words is "sixty-six trillion, two hundred sixty-two billion, two hundred forty-six million, four hundred thousand, four hundred".