4202164446640 has 80 divisors (see below), whose sum is σ = 10345168268640. Its totient is φ = 1581925847040.

The previous prime is 4202164446569. The next prime is 4202164446653. The reversal of 4202164446640 is 466444612024.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 43935991 + ... + 44031529.

It is an arithmetic number, because the mean of its divisors is an integer number (129314603358).

Almost surely, 2^{4202164446640} is an apocalyptic number.

4202164446640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202164446640 is an abundant number, since it is smaller than the sum of its proper divisors (6143003822000).

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

4202164446640 is a wasteful number, since it uses less digits than its factorization.

4202164446640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127910 (or 127904 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

The spelling of 4202164446640 in words is "four trillion, two hundred two billion, one hundred sixty-four million, four hundred forty-six thousand, six hundred forty".