42640566160 has 40 divisors (see below), whose sum is σ = 99151299000. Its totient is φ = 17054164992.

The previous prime is 42640566151. The next prime is 42640566181. The reversal of 42640566160 is 6166504624.

It can be written as a sum of positive squares in 4 ways, for example, as 296803984 + 42343762176 = 17228^2 + 205776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 752584 + ... + 807256.

It is an arithmetic number, because the mean of its divisors is an integer number (2478782475).

Almost surely, 2^42640566160 is an apocalyptic number.

42640566160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42640566160 is an abundant number, since it is smaller than the sum of its proper divisors (56510732840).

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

42640566160 is a wasteful number, since it uses less digits than its factorization.

42640566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64435 (or 64429 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 42640566160 in words is "forty-two billion, six hundred forty million, five hundred sixty-six thousand, one hundred sixty".